Question 578234
It is not correct.
x=4 y=2
You said:
2x-3y=2 
5(2x-3y=2)= 10x-15y=10
5x+2y=-16 2(-5x+2y=-16)=-10x+4y=-32

add the two
-11y=-22 not -42
since 10-32=-22
y=2
2x-3*2=2
2x-6=2
2x=8
x=4