Translate to a system of equations and solve: 1) The sum of two numbers is 36. One number is 2 more than the other. Find the numbers. Answer: (17,19) 2) Find two numbers whose sum is 66 and whose difference
64,131 results
How do I do this.?(Math.)
Use the Substitution method to solve the system of equations. y  2x = 5 3y  x = 5 Solve one of the equations for x or y. Let's solve the first one for y: y  2x = 5 y = 2x  5 Now let's substitute 2x  5 for y in the second equation to solve for x:

Mathematics
Solve the system of equations by finding the reduced rowechelon form of the augmented matrix for the system of equations. x + y  z = 2 2x  y + 3z = 9 x  4y  2z = 1

Substitution Method in Algebra!HELP PLZ!
Use the Substitution method to solve the system of equations. 3x + y = 5 4x  7y = 10 multiply first equation by 4 multiply second equation by 3 thus both equations have same x or y value in this case it is the x value. 12x + 4y = 20 12x  21y = 30 solve

Math (PLEASE HELP!)
1. The sum of the squares of two numbers is 74 and the difference of their squares is 24. a) What system of equations models this situation? b) What are the two numbers? 2. For what value of b will the line y= 2x+b be tangent to the parabola y=3x^2+4x1?

Algebra
the sum of two numbers is 38.the greater number is 8 more than the other number.find each number.use a system of linear equations to justify your answers.

Algebra Linear Inequalities Help
8. The system below has the solution of (1,3) where A, B, C, D, E, and F are all nonzero real numbers. Ax+By=C, Dx+Ey=F Which of the following systems would not have (1,3) as the solution? A Ax+By=C & (2AD)x+(2B+E)y=C2F B Ax+By=C & 7Dx+7Ey=7F C

algebra
2a+3b4c=7, ab+2c=6 a) find an ordered triple of numbers (a,b,c) that satisfies both equations b) can you find a second ordered triple that satisfies both equations c) solve for b in terms of a, and solve for c in terms of a. how many solutions does this

Math
"Two numbers have a sum of 15 and a difference of 7. What are the two numbers?" A word problem using system of equations and I'm pretty lost an help?

algebra
The sum of two numbers is 82. Their difference is 24. Choose the system of equations that describes this situation. Solve by elimination to find the two numbers.

Algebra 2
1.) Write a system of equations that has NO solution. 2.) If you wanted to eliminate the y variables in the system of equations below, what would you multiply the first and second equations by?( Do not solve the equation) 2x3y=8 7x4y=11

Math
the sum of two numbers is 27. one number is 3 more than the other number. write and solve a system of equations to find the two numbers. i understand the first equation but i don't know the other one.

Math
Use a system of equations to find the quadratic function f(x) = ax^2 + bx + c that satisfies the equations. Solve the system using matrices. f(−2) = 4, f(1) = −2, f(2) = −12

math
The difference between two numbers is 3. Eight times the larger number is 10 times the smaller number. Write a system of equations describing the given conditions. Then solve the system by the substitution method and find the two numbers.

Math
Use a system of equations to find the quadratic function f(x) = ax^2 + bx + c that satisfies the equations. Solve the system using matrices. f(−2) = 4, f(1) = −2, f(2) = −12 The answer i got is f(x)=2x^24x+8 this is the steps of how i got

College algebra
system of linear equation The sum of 3 numbers is 14 the largest is 4 times the smallest the sum of the smallest and twice the largest is 18 what are the 3 numbers? show work? A. how many unknowns you have? how many equations need to be solve for that

Algebra
A train leaves Danville Junction and travels north at a speed of 75 km/h. Two hours later, a second train leaves on a parallel track and travels north at 125 km/h. How far from the station will they meet? I have no idea what the system of equations would

math
Consider the following system of equations. y = 2x  2 y  2x = 7 What can you conclude about the system of equations? The system of equations is inconsistent. The system of equations is dependent. The system of equations is independent. none of these

algebra
Dorothy is thinking of two numbers. The sum of the numbers is 40 and the difference is 6. write a system of equations and use elimination method to find the two numbers.

College Algebra
Solve the system of equations using matrices. If system has no solution say its inconsistent. 6x + y = 5 3x  y + z  w = 8 z + w = 2 Solve the system of equations using Cramers Rule if applicable. 4x + 2y = 8/5 5x  5y = 5

Algebra
Find the number of the solutions to each system. a. 4xy+1=0 4xy+3=0 b. 2xy+4=0 4x2y+8=0 Write a question that can be solved using a system of linear equations. Solve the following system of equations by graphing: y=x+3 and y=2x3

Mathmatics
Question 1 Use substitution t solve the system of equations 5x + y = 24 x + 3y = 2 A: x = 5, y = 1 B: x = 5, y = 1 C: x = 5, y = 1 D x = 5, y = 1 Question 2: Use substitution to solve the systems of equations. How many solutions are there? 1/2 x 1/3

need help in math,
Translate to a system of equations and solve using the addition method. The sum of two numbers is88. The difference is 22.Find the numbers? My answer: I started but i think that i am wrong. x + y = 88 y = x +88 y = 1x + 88 now once i substituted x 1x +

Precalculus 11
The sum of the first number & the square of a second number is 18. The difference between the square of the second number and twice the first number is 12. Write a system of equations to represent this situation. y=x^2+18 y=.5x^6 Solve the system to

mathematics
1. The three angles of a triangle are (x − 25)°, (2x+ 40)°and 30°. a. Form an equation to represent the information given, given that the sum of the angles in a triangle is 180°. [1] b. Using your equation, calculate the value of x. [1] c. Give the

Math
Sustem of equations. I have to solve the system of equations by graphing and solving. Ther are thirtythree students in the Chess Club. There are five more boys than girls in the club. Write and solve a system of equations to find the number of boys and

alegebra
Solve the system of equations by graphing. Then classift the system as consistent or inconsistent and the equations as dependent or independent. 3xy=14 3x+4y=26 What is the solution of the system of equations? Type an ordered pair.N for no solution R for

algebra
The sum of two numbers is 30 and their difference is 2. Find the two numbers by writing and solving a system of equations.

PLEASE CHECK
1.)Solve for y in the following system of equations. x + 4y = 38 x  6y = 58 My answer 1.) 10 2.) 6 3.) 12 4.) 10 2.)Solve for y in the following system of equations. x  10y = 50 4x + 6y = 4 1.) 6 2.)3 3.)3 My answer4.)6

Algebra
the sum of two numbers is 18. The difference between three times the lesser number and the greater number is 10. A)define variables and formulate a system of equations from this situation B)solve your system of equations algebraically and find the greater

Algebra
Translate each situation to a system of equations. Do not attempt to solve. Paint Town sold 45 paintbrushes, one kind at $8.50 each and another at $9.50 each. In all, $398.75 was taken in for the brushes. How many of each kind were sold? My teacher told me

Vectors
Could you please help me solve this question: Solve this system of equations using elementary operations. 1. x/3 + y/4 + z/5 =14 2. x/4 + y/5 + z/3 =21 3. x/5 + y/3 + z/4 =7 So far, I have multiplied all three equations by 60, to turn them into whole

AlgrebraSystems of Equations
Kasey is thinking of 2 munbers. The sum of the two numbers is 18. Their difference is 38. Write a system of equations that can be used to find the numbers.

Math Help PLEASE
Solve the system of equations by graphing then classify the system as consistent and the equation as dependent or independent. 4xy=26 4x+5y=10 What is the solution of the system of Equations? (type am ordered pair Type N if there is no solution Type R if

algebra
solve the system of equations by graphing. Then classify the system as consistent or inconsistent and the equations as dependent or independent. x+y=14 xy=2 What is the solution of the system of equations?

College Alebra
Solve the following using system of equations. The sum of three numbers is 26. The middle number numerically is one more than three times the smallest number. The largest number is two times less than five times the smallest number. Find the three numbers.

College Algebra
Solve the system of equations. Then classify the system. 7x7y= 42 7y7x=42 What is the solution of the system? Is the system inconsistent or consistent? Is the equations dependent or independent?

Algebra 2
1.) Write a system of equations that has NO solution. 2.) If you wanted to eliminate the y variables in the system of equations below, what would you multiply the first and second equations by?( Do not solve the equation) 2x3y=8 7x4y=11

algebra
i need help with these problems (either a solution or how to plug them into a graphing calculator): 1) Solve by substitution or elimination 4/x + 1/y + 2/z = 4 2/x + 3/y  1/z = 1 1/x + 1/y + 1/z = 4 2)Solve the system of equations by substitution. x^2 +

Int Algebra
The difference of two numbers is 7. The sum of the numbers is 1. What are the numbers? I've come up with two equations: xy=7 and x+y=1 but don't know what to figure it out from there since there are no numbers on the left side of the equation to work

MATH
Solve the system of linear equations 2x+y3z=4 4x+2z=10 2x+3y13z=8 *im so lost (all these numbers are in one problem)

College Algebra
Please help! x2y+z=7 2x+yz=0 3x+2y2z=2 a. Solve the above system of equations using Gaussian Elimination or GaussJordan Elimination. You must show row operations. b. Solve the above system of equations using Cramer's Rule.

algebra
Solve the system of linear equations by graphing 3x+y=0 2xy=5 Graph the system What is the solution of the system of equations?

math 117
I made an error on the one before this because I did not enter the equations. Solve the system of equations by graphing Then classify the system as consistent or inconsistent __dependent or independent 8x4y=16 4y8x=16

calculus
When using the substitution method to solve a nonlinear system of equations, you should first see if you can _____ one variable in one of the equations in the system.

math
Solve the system of equations by graphing. Then Classify the system? 4u+v=1 4u=v+7 What is the solution of the system? (Type an ordered pair. Type N if there is no solution. Type R if the solution is all real numbers.)

Algebra
I can find no solution to this system of equations. Solve the system of equations using the substitution method 2x + 4y = 2 2x  y = 4

math
Two nonnegative numbers are chosen such that their sum is 30. Find the numbers if the sum of their squares is to be a maximum. Explanation to solve this would help !

MATH
system of linear equation The sum of 3 numbers is 14 the largest is 4 times the smallest the sum of the smallest and twice the largest is 18 what are the 3 numbers? show work? A. how many unknowns you have? how many equations need to be solve for that

Algebra
Translate to a system of equations. DO NOT SOLVE. A nontoxic scouring powder is made up of 4 parts baking soda and 1 part vinegar. How much of each ingredient is needed for a 16oz mixture? What are the two equations? For most problems, I can easily find

algebra
In the magic square shown (I'll type it out), the sum of the numbers in each row, column, and diagonal are the same. Five of these numbers are represented by v,w,x,y, and z. Find y + z. Here's what the magic square looked like. I'll type semicolons to

math
I am having a really hard time with these! 1. Solve system of equations x+3y=7 (1) x=83y (2) 2. find slope (9,8) (10,7) 3. translate into an algebraic expression The product of 46% and some number

math,help
How do even solve this one sum of two numbers is 32. their difference is 6. what are the numbers? xy=6 x+y=32 add the equations... 2x=38 and solve.

math
the sum of a numbers is 15 and their difference is 4. form a pair of simultaneous equations and solve to find the numbers.

College Algebra
Solve the system of equations with ROWOPS program. I know how to do the first step but after that it gets difficult for me, this is the system of equations: 3x + y  z = 1 x + 2y  z = 0 2x  y + z = 4 I used to be able to do these but now I'm getting a

alegebra
solve the system of equations by graphing. then classify the system as consistent or inconsistent and the equations as dependent or independent. 3u+v=13 3u=v+29 What is the solution of the system of equations?

math
How do you solve system of equations and tell if they're consistant and independant,consistant and dependent,and inconsistant? If you find no solutions then the system is inconsistent. Suppose you have N variables and M equations (N larger than or equal to

Math
Write two equations that have your two integers as solutions. Show how you built the equations using your integers, numbers used 5 and 8. Solve your system of equations by the addition/subtraction method. Make sure you show the necessary 5 steps.

Algebra 2
1.) Write a system of equations that has NO solution. 2.) If you wanted to eliminate the y variables in the system of equations below, what would you multiply the first and second equations by?( Do not solve the equation) 2x3y=8 7x4y=11

MATH!!!! AHHH!!!
Im studying for finals! A system of equations is shown below: 8x + 5y = 9 3x + 2y = 4 Part A: Create an equivalent system of equations by replacing one equation with the sum of that equation and a multiple of the other. Show the steps to do this. Part B:

algebra
How do I do substitution equations out of the equations in the system, pick the one that has the least amount of funky numbers. then make that equation equal to either x or y(or any other variable dependin on what kind of systems youre doing, usually just

Math 3
If you want to be eligible for partial credit, please show your work. Solve the following system of equations using any method. y=1/2x+3 y=1/3x2 Try substituting the equations. if y=1/3x2, then 1/3x2 = 1/2x+3 Solve for x, then plug your solution in for

Discrete Math
I am really stuck on these problems. I've worked a lot of them but I can't get these. Sometimes I think I know the answer but I can't show how I got it. 1.) Solve each matrix equation for X. 2X + 5A = B 2.) Find the following matrices: a. AB b. BA A= 2 4 3

Math
Please help! x2y+z=7 2x+yz=0 3x+2y2z=2 a. Solve the above system of equations using Gaussian Elimination or GaussJordan Elimination. You must show row operations. b. Solve the above system of equations using Cramer's Rule.

Algebra
7x + 5 = y 3.5x + 20 = y Solve the system of equations. What method did you use to solve the system and why? Show your work. Can someone please explain to me the process of solving the system? That would be nice. Thanks! (=

algebra ll
solve the system of equations 4x  3y= 8 2x+ 5y= 9 mutiple choices are (1,1), (5,2) 1(4,10) or (2,2)and choose the correct description of the system of equations. 2x+3y=10 and 4x+6y equals 20 thank you for the help

Alg 2
Today we learned how to solve systems of equations with 3 variables, however my teacher didn't go over how to do a problem where not every single equation in the system has the 3 variables. Can someone point me to a place that explains this? the kind of

Math
I need to use the Gaussian Elimination to solve a system of equations, but I have no idea on how to do that. I remember doing these in high school, but since its been a while I can't remember exactly how to do it. Here's the system of equations I need to

algebra
Can someone help me figure this out please? when you solve a system of equations by the substitution method, how do you determine whether the system of equations is inconsistent? thank you anyone

math
Solve the system of equations by graphing. Then classify the system? y= x 11 4x 3y=2 What is the solution of the system? (Type an ordered pair. Type N if there is no solution. Type R if the solution is all real numbers.)

algebra
when you solve a system of equations by the substitution method, how do you determine whether the system of equations is dependent?

algebra
Can someone please help. When you solve a system of equations by the substitution method, how do you determine whether the system of equations is inconsistent? Thanks

algebra
When you solve a system of equations by the substitution method, how do you determine whether the system of equations is inconsistent?

PreAlgrebra
Two cell phone companies have different rate plans. Runfast has monthly charges $10 plus $4 per gig of data. B A &D’s monthly charge is $6 plus $6 per gig of data. Your task, is to determine under what circumstances each company has the better pricing.

Algebra
Translate into a variable expression. The sum of two numbers is thirtyone. Using s to represent the smaller number, translate “five more than the larger number” into a variable expression.

Math
I have been asked to solve the following system of linear inequalities by graphing. I tried replacing with various numbers but even though the they work in the equations my graphs change from consistent to inconsistent. Please help.

Math
Hi, can you help me please with this: translate the following sentence into equation: Two numbers have a sum of 20, which is the the product of one number and the square of the other is 50. Thanks

Math 1
Consider the following system of equations. y = 4x  4 y  4x = 3 What can you conclude about the system of equations? A) The system of equations is inconsistent. B) The system of equations is dependent. C) The system of equations is independent. D) none

Math 116
Consider the following system of equations. y=2x2 y2x=9 What can you conclude about the system of equations? a. The system of equations is inconsistent. b. The system of equations is dependent. c. The system of equations is independent. d. none of these.

Algebra 1
Translate problem situation to a system of equations. Do not solve. The sum of two numbers is 10 the first number is 2/3 of the second number. What are the numbers? would it be 6, and 4? or 7, and 3? I know 2/3 of 10 is 6.66666667, so being after the

Reiny! Reiny! Reiny! Answer Check and HW Help!
Translate to a system of equations and solve: 1) The sum of two numbers is 36. One number is 2 more than the other. Find the numbers. Answer: (17,19) 2) Find two numbers whose sum is 66 and whose difference is 18. Answer: (37,29) These ones I am not sure

geometry
The perimeter of a rectangle of two numbers. The sum of the numbers is 163, and their difference is 33. Write two equations that would be used to solve the system

Algebra
Write a system of equations to model the problem and solve the system: The sum of two numbers is 156. What number is 28 more than the second number. What are the numbers?

Algebra
Write a system of equations to model the problem and solve the system: The sum of two numbers is 156. What number is 28 more than the second number. What are the numbers?

Int Algebra
The difference of two numbers is 7. The sum of the numbers is 1. What are the numbers? I've come up with the following equations: xy=7 and x+y=1. I can't seem to solve because there are no numbers on the left side of the equations. Any thoughts? Let's

Math
translate to an equation: and then solve The sum of two numbers is 4 and their difference is 10. Find the numbers.

Algebra 2
The sum of a few numbers if 30, the first number is 2 less than the second, and the third is 4 less than the first. What are the order of numbers and what are the numbers? This is a post by one of my classmates that I'm supposed to solve. I'm probably

Algebra
The sum of two numbers is 30 and their difference is 2. Find the two numbers by writing and solving a system of equations.

AlgrebraSystems of Equations
Kasey is thinking of 2 munbers. The sum of the two numbers is 18. Their difference is 38. Write a system of equations that can be used to find the numbers.

Algebra
Translate each problem into a system of equations. DO NOT attempt to solve. JUST write the equation(s). Mountainside Fleece sold 40 neckwarmers. Solid color neckwarmers sold for $9.90 each and print ones sold for $12.75 each. In all, $421.65 was taken in

Math
I am really have a tough time trying to solve this problem. I think my first three steps are correct but I am not sure. Could someone please help me? I got lost somewhere on one of these steps. I thonk it was step 3, 4, 5. Thank you. The two numbers chosen

maths plse help me..
Solve the system of equations for positive real numbers: 1/xy = x/z + 1, 1/yz = y/x + 1, 1/zx = z/y + 1.

Grade 8 Math
Can you write them in Mathematical/numbers form I'll solve them myself. i don't really get it though i have written the first one in mathematical for but i'm not sure if that's right. 1. When six is subtracted from five times a certain number, the result

math
Hi, for the question, "the sum of two numbers is equal to a third number(x+y=z). The sum of twice the first, three times the second, and twice the third is 7(2x+3y+2x=7). The third number is 3 more than the first(3+z=x), have I set the equations right? I

Reply to grant about a regression problem
This is a reply to the question posted here http://www.jiskha.com/display.cgi?id=1178989522 As I explained there, you can find the parameters by defining: x1 = Sin(0.49 t) x2 = Cos(0.49 t) and treat this as an ordinary linear regression problem. If we

Algebra
system of equations, the sum of two numbers is 46. the first number is 3/20 of the second number is it x + y = 46, x = 3/20y?

algebra
Solve by setting up the proper equation to describe the facts given and then carrying out the mathematical calculations to solve for the unknown variable(s). The difference between two numbers is 3, and the sum of those two numbers is 21. What are the two

AlgrebraSystems of Equations
One number is 12 less than three times another number. Their sum is 188. Write two equations that would be used to solve the system.

Algebra
Using system of equations: d. Find the value of two numbers if their sum is 120 and their difference is 40.

math
the sum of two numbers is 60. their difference is 6. construct a system of equations and algebraically find the value of the smaller number.

Algebra 1Please, help me!
4. The sum of the digits of a twodigit number is 11. If 45 is added to the number, the digits will be reversed. a. Write a system of equations that you can use to find the digits of the number. Tell what each variable represents. b. Solve the system of