Question

Use substitution to solve the system of equations. Enter your answer as an ordered pair; example: (4, -5) y = x - 19 2x - y = 27

Answer 1

y = x - 19
2x - y = 27

sub in x - 19 in for y in the second equation
2x - (x - 19) = 27
2x - x + 19 = 27
x = 27 - 19
x = 8

now sub in 8 for x in either of the original equations
y = x - 19
y = 8 - 19
y = -11

check..
2x - y = 27
2(8) - (-11) = 27
16 + 11 = 27
27 = 27 (correct)

answer is (8,-11)