Question

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

2x−6y=8
(1 point)
Responses

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

(−5,−3)
left parenthesis negative 5 comma negative 3 right parenthesis

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

(−2, 3)

Answer 1

Solve by elimination: multiply the second equation by 4 to match x-coefficients:
8x − 24y = 32
Subtract the first equation (8x − 4y = −28):
−20y = 60 → y = −3.
Substitute into 2x − 6y = 8:
2x − 6(−3) = 8 → 2x + 18 = 8 → 2x = −10 → x = −5.

Answer: (−5, −3).