to subsitute, we need to solve for 1 variable
let's solve for x in bottom equation
x-2y=2
add 2y both sides
x=2y+2
sub 2y+2 for x in other equation
-5(2y+2)+3y=11
-10y-10+3y=11
-7y-10=11
add 10 to both sides
-7y=21
divide both sides by -7
y=-3
sub back
x=2y+2
x=2(-3)+2
x=-6+2
x=-4
(x,y)
(-4,-3)