# math help pls pls

Two systems of equations are shown below:

System A
6x + y = 2
−x − y = −3
System B
2x − 3y = −10
−x − y = −3

Which of the following statements is correct about the two systems of equations?

The value of x for System B will be 4 less than the value of x for System A because the coefficient of x in the first equation of System B is 4 less than the coefficient of x in the first equation of System A.

They will have the same solution because the first equations of both the systems have the same graph.

They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 4 times the second equation of System A.

The value of x for System A will be equal to the value of y for System B because the first equation of System B is obtained by adding −4 to the first equation of System A and the second equations are identical.

Is it a??

1. 👍
2. 👎
3. 👁
1. GRAPH THEM ALL !!!
I tend to put them in the slope intercept form
y = m x + b
to graph them

System A
first
6x + y = 2
or y = - 6 x + 2
second
−x − y = −3
or y = -1 x + 3
now I can easily graph them
where do they cross?
-6x+2 = -1 x + 3
5 x =-1
x = -1/5
so intersection is
x = -1/5 and y = 3 1/5 = 16/5
(-1/5 , 16/5)

for the other one system B
2x − 3y = −10
is y = (2/3) x + 10/3
and
−x − y = −3
is y = -x + 3
so
-x+3 = (2/3) x + 10/3
or
-3 x + 9 = 2 x + 10
-5x=1
x = -1/5
then y = 16/5
so
(-1/5 , 16/5)
remarkable :)

1. 👍
2. 👎
2. by the way, now that we know, we go back and see why

They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 4 times the second equation of System A.

1. 👍
2. 👎

## Similar Questions

1. ### Math

Lesson 8: Systems of Linear and Quadratic Equations Check my work 1. Solve the system of equations. y = 2x^2 - 3 y = 3x - 1 a. no solution b. (-1/2, 5), (2, -5/2) c. (-1/2, -5/2), (2,5)*** d. (1/2, 5/2), (2, 5) 2.how many real

2. ### Science test

Can someone please help me with science test answers!! Why do scientists use models of natural systems? A- Scientist use models of natural systems because these systems are often too large or too small or too complex to study

3. ### MATH PLS HELP CHECK ANSWERS

3. What is the rule for the function shown in the table? (1 point) x = -1, 0, 1, 2 y = -2, 1, 4, 7 A.y = 1/3x + 1 B.y = 3x + 1 C.y = 1/3x D.y = 1/2x + 1 4. What is the function rule for the following situation? rex paid \$20 for a

4. ### Algebra

Create a system of equations that includes one linear equation and one quadratic equation. Part 1. Show all work to solving your system of equations algebraically. Part 2. Graph your system of equations, and show the solution

1. ### math

two systems of equations are given below for each system, choose the best description of it solution. 1) the system has no solution 2) the system has a unique solution 3) the system has a infinitity many solutions. they must

2. ### Math

Which graph represents the solution to the given system? Y=-x+2 Y=1/2x+8 (I cannot copy and paste the graphs here, but if anyone knows it, for 7th grade math on Connexus, the Systems Of Equations And Inequalities Unit Test, maybe

3. ### 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 & (2A-D)x+(2B+E)y=C-2F B-

4. ### science

which of the following body systems does NOT rely on the autonomic nervous system to stimulate involuntary events? A. Skeletal System B. Digestive System C. Circulatory System D. Respiratory System

1. ### Math

What is the solution to the system of equations shown below? 2x-y+3z=8 x-6y-z=0 -6x+3y-9z=24

2. ### math

two systems of equations are giving below for each system choosethe best description of its solution if applicable give solution x+4y=8 -x-4y= -8 choose which one this problem fit in 1)the system has no solution 2) the system has

3. ### Math

A system of equations is shown below: x + y = 3 2x − y = 6 The x-coordinate of the solution to this system of equations is _____. I'm thinking it could be X=3

4. ### 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^2-4x+8 this is the