First, you need to rearrange the first equation so it is in the same format as the second one. 5x-5=-7y Add 5 to both sides 5x-5+5=-7y+5 Add 7y to both sides 5x+7y=-7y+7y+5 So you have 5x+7y=5
Now you need to multiply that equation by 3 3(5x+7y=5) 15x+21y=15
Multiply the second equation by -5 -5(3x+2y=-8) -15x-10y=40
Now add them together 15x+21y=15 +(-15x-10y=40) --------------------- 11y=55 y=5
Now plug y=5 into one of the original equations and solve for x. 3x+2(5)=-8 3x+10=-8 3x=-8-10 3x=-18 x=-6
To check the solution plug them both into the other equation: 5(-6)-5=-7(5) -30-5=-35 -35=-35
