Question

How to solve for the two variables using substitution

Answer 1

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)