In order to solve by subdtitution, first, solve the second equation for x:
x - 2y = 4 add 2y both sides
x = 4 + 2y
next, replace the previous expression for x into the first equation and solve for y:
4x + 2y = -14 replace x=4+2y
4(4 + 2y) + 2y = -14 apply distribution property
16 + 8y + 2y = -14 subtract 16 both sides
8y + 2y = -14 - 16 simplify like terms both sides
10y = -30 divide by 10 both sides
y = -30/10
y = -3
next, replace y=-3 into x = 4 + 2y
x = 4 + 2y = 4 + 2(-3) = 4 -6 = -2
x = -2
Hence, the solution to the given system of equations is:
x = -2
y = -3
