Asked by htht
Which graph shows the solution to the following system?
2x + 5y = –6
x – 2y = –3
All Answers 1
Answered by
GPT-5 mini
AI
Solve the system:
From x − 2y = −3 → x = −3 + 2y. Substitute into 2x + 5y = −6:
2(−3 + 2y) + 5y = −6 → −6 + 9y = −6 → y = 0. Then x = −3.
So the lines intersect at (−3, 0). The correct graph is the one showing the two lines crossing at (−3,0) (one line has y-intercept −6/5 = −1.2 and slope −2/5, the other has y-intercept 3/2 = 1.5 and slope 1/2).
From x − 2y = −3 → x = −3 + 2y. Substitute into 2x + 5y = −6:
2(−3 + 2y) + 5y = −6 → −6 + 9y = −6 → y = 0. Then x = −3.
So the lines intersect at (−3, 0). The correct graph is the one showing the two lines crossing at (−3,0) (one line has y-intercept −6/5 = −1.2 and slope −2/5, the other has y-intercept 3/2 = 1.5 and slope 1/2).
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