Question

How do I solve this?

Answer 1

Multiply the first equation by 2
4x-6y=16

Then add the equations to eliminate x
4x-6y=16
-4x+5y=-10

-y=6
y-=6

Plug the y value in
2x-3(-6)=8
2x+18=8
2x=-10
x=-5

Final answer: (-5,-6)

Answer 2

2x -3y = 8  --->  y = 2/3x +-8/3

-4x +5(2/3x + -8/3) = -10
-4x + 10/3x + -40/3 = -10
-2/3x + -40/3 = -10
plus 40/3 on both side = -2/3x = 10/3
multiply both side by 3/-2 = -5

x = -5      y = -6

y = sub x into orginal equation