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In Mathematics / Middle School | 2014-11-25

Which ordered pair is the solution to the system of equations?

\[
2x + y = -8
\]
\[
x - y = -4
\]

A. \((-3, -2)\)
B. \((-1, 3)\)
C. \((1, 5)\)
D. \((-4, 0)\)

Asked by lexyyh

Answer (2)

{ x − y = − 4 2 x + y = − 8 ​ + − − − − 3 x = − 12 ∣ : 3 x = − 4 − 4 − y = − 4 − 4 + 4 = y y = 0 A n s w er D ( − 4 , 0 )

Answered by luana | 2024-06-10

The solution to the system of equations 2 x + y = − 8 and x − y = − 4 is the ordered pair ( − 4 , 0 ) , corresponding to option D. We verified that substituting these values back into both equations results in true statements. Thus, the correct answer is D. (-4, 0).
;

Answered by luana | 2024-10-01