Question 1006294
-5x+3y=6 equation a
x-y=4 equation b

Multiply equation b by 5, leave a as is
-5x+3y=6
5x-5y=20 now add the two equations, when you do this x-terms add to 0 so you're left with y term on the left side
-2y=26 divide both sides by -2
y=-13  now plug in into either of original equations and solve for x, i'll use equation b
x-(-13)=4
x+13=4
x=-17
(-17,-13)