Solve the given via substitution method
2x + y = 8
3x - 2y = -2
Solution
Solve the first equation for y
y = 8 - 2x
Now substitute this value of y into the second equation and then solve for x
3x - 2y = -2
3x - 2 (8-2x) = -2
x = 2
Now substitute this value of x into either the first or the second original equation and then solve for y
2x + y = 8
(2) (2) + y = 8
y = 4