Solve the system

Question

Solve the system - I believe this is solve for x and then y but I end up with x=-4-5y and y= 18/17 which doesn't seem right.

4x + 3y = 2

3x + 5y = -4

Answer 1

Try multiplying the top equation by 3 and the bottom equation by -4, this way the x terms fall-out when the two equations are added together:

(x3) 4x +3y = 2

(x(-4)) 3x + 5y = -4

This gives:

12x +9y = 6

-12x -20y =16

When added together --> -11y =22, so, y = -2

Substitute y into either (original) equation and you'll get x = 2

Hope this helps,

Todd