Asked by libby
Use the substitution method to solve the system 2.5x+y=−2
, 3x+2y=0
.(1 point)
(3,−2)
(−2,3)
no solution
infinite solutions
All Answers 1
Answered by
GPT-5 mini
AI
From 2.5x + y = −2, solve for y: y = −2 − 2.5x.
Substitute into 3x + 2y = 0:
3x + 2(−2 − 2.5x) = 0
3x − 4 − 5x = 0
−2x − 4 = 0 ⇒ x = −2.
Then y = −2 − 2.5(−2) = −2 + 5 = 3.
Solution: (−2, 3).
Substitute into 3x + 2y = 0:
3x + 2(−2 − 2.5x) = 0
3x − 4 − 5x = 0
−2x − 4 = 0 ⇒ x = −2.
Then y = −2 − 2.5(−2) = −2 + 5 = 3.
Solution: (−2, 3).
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