math 20 system of equations
posted by Sandi .
I have been solving system of equations graphically and using addition and subtraction and now I'm being asked: Give any linear system of two equation that has a solution of (3,5). Does it have to be in y=mx+b form and if so how do I do it? I've been trying to find an example on net but all sites I've come across shows how to find the solution(order pairs) from system of equation and not how to write the equations when given only one ordered pair. Any help would be great thanks.

Hint:
Do you know how to find the equation of a straight line L1 passing through a given point (x0,y0)=(3,5) with a given slope m1 = 1.0 ?
Can you do the same for a line L2 with a slope m2=0.5?
Now solve the system of equations L1 and L2 and see what you get.
Try other values of m1 and m2 to generalize your findings.
Respond to this Question
Similar Questions

math
How do you solve system of equations and tell if they're consistant and independant,consistant and dependent,and inconsistant? 
Algebra
Explain the difference between solving a linear equation graphically and solving a system of equations graphically. How would I go about doing this? 
Math  system of equations
write two other equations that have the same solution as this system od equations. 3x4y=14 x+3y=18 I found the solution to the system it is (6,8) there after how do i go about it? 
Math
I am stuck on trying to figure out how to do this question. Could someone please show me 5 necessary steps ? 
math
1. Select any two integers between 12 and +12 which will become solutions to a system of two equations. 2. Write two equations that have your two integers as solutions. Show how you built the equations using your integers. Your solution … 
Algebra
Suppose a linear system of equations has 2012 equations and 2013 unknowns. Answer the following questions: Can the system be inconsistent? 
Math
1.) Can a system of linear equations have exactly two solutions? 
Math
So I've been working on solving this system by addition/subtraction and I just can't get the right answer. Her is the system of equations I was given to solve by add/sub: 3x – y = –12 x + 2y = –18 
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? 
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 graphically …