Question

What is the solution of the system?

4x+3y=12
7x+5y=26

a. (18,20)
b. (18,-20)
c. (-20,18)
d. (20,18)

Answer 1

You can solve the system by isolating the same variable in both equations, then setting those equations equal to each other. For instance, say we isolate y:


`4x+3y=12`

`3y=12-4x`

`y=4- (4)/(3) x`

Do the same for the other equation, then set both equations equal to each other. You can then solve for x. Once you have a value for x, you can plug it into either of the original equations and find y!