math 20 system of equations
posted by Sandi on .
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.