Question

Solve the system of equations.
8x−4y=−28

2x−6y=8
(1 point)
Responses

(7, 1)
left parenthesis 7 comma 1 right parenthesis

(−4,−1)
left parenthesis negative 4 comma negative 1 right parenthesis

(−2, 3)
left parenthesis negative 2 comma 3 right parenthesis

(−5,−3)

Answer 1

Solve quickly by substitution or elimination.

From 8x − 4y = −28 divide by 4: 2x − y = −7 ⇒ y = 2x + 7.
Substitute into 2x − 6y = 8:
2x − 6(2x + 7) = 8 ⇒ 2x − 12x − 42 = 8 ⇒ −10x = 50 ⇒ x = −5.
Then y = 2(−5) + 7 = −3.

Solution: (−5, −3).