Question

Solve the system of equations.
3x+y=2

7x−4y=30
(1 point)
Responses

(12, 12)

left parenthesis start fraction 1 over 2 end fraction comma start fraction 1 over 2 end fraction right parenthesis

(−2, 8)

left parenthesis negative 2 comma 8 right parenthesis

(2, −2)

left parenthesis 2 comma negative 2 right parenthesis

(2, −4)

Answer 1

Solve 3x + y = 2 → y = 2 − 3x.
Substitute into 7x − 4y = 30:
7x − 4(2 − 3x) = 30 → 7x − 8 + 12x = 30 → 19x = 38 → x = 2.
Then y = 2 − 3(2) = −4.

Answer: (2, −4).