Question 646969
2x-3y=8..............1

-4x+5y=-10...........2
_________________________

2x-3y=8..............1...both sides multiply by 2

2x*2-3y*2=8*2 
4x-6y=16
_____________________________________...now take 1a and 2


4x-6y=16...............1a
+
-4x+5y=-10...........2
_________________________________...add them...


4x-4x-6y+5y=16-10


-y=6....both sides multiply by -1

-y*(-1)=6*(-1)

y=-6

now find x

2x-3y=8..............1

2x-3(-6)=8

2x+18=8

2x=8-18

2x=-10

x=-5