Question

2x-3y=2
x+2y=-20

solve each system by sudstitution

Answer 1

(1) 2x - 3y = 2
(2) x + 2y = -20
to solve this by substitution, we choose one of the equations. from there, we choose a variable and represent it in terms of the other variable.
here, let's choose equation (2), and make variable x in terms of y:
x + 2y = -20
x = -20 - 2y
then we substitute this to equation (1):
2x - 3y = 2
2(-20 - 2y) - 3y = 2
-40 -4y - 3y = 2
-4y - 3y = 2 + 40
-7y = 42
y = -6
now we substitute this to either equations to get x,, let's substitute this to equation (2):
x + 2y = -20
x = -2(-6) - 20
x = 12 - 20
x = -8

hope this helps~ :)