3x - 5y = 4
-2x+ 3y= 2
Multiply the first equation by 2, and the second equation by 3.
Then add both to eliminate the x variable:
6x - 10y = 8
+
-6x + 9y= 6
__________
-y = 14
y= -14
Replace y=-14 on any equation and solve for x
3x- 5(-14) = 4
3x +70 = 4
3x = 4-70
3x = -66
x= -66/3
x= -22
Solution = (-22, -14 )