Question

Solve the following system using the substitution method.

3y − 2 = x
-2x − y = -17

(7, 3)
(7, 8)
(1, 7)
(1, -7)

Answer 1

(7, 3 )

Explanation:

3y - 2 = x → (1)

- 2x - y = - 17 → (2)

substitute x = 3y - 2 into (2)

- 2(3y - 2) - y = - 17

- 6y + 4 - y = - 17

- 7y + 4 = - 17 ( subtract 4 from both sides )

- 7y = - 21 ( divide both sides by - 7 )

y = 3

substitute y = 3 into (1)

3(3) - 2 = x

9 - 2 = x , that is

x = 7

solution is (7, 3 )