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Which point satisfies the system of equations y = 3x − 2 and y = -2x + 3? A. A B. B C. C D. D

Which point satisfies the system of equations y = 3x − 2 and y = -2x + 3? A. A B. B-example-1

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Only D because if you set both equations equal to each other and solve for x, x=1. The only point where x=1 is D.
If you’re still not convinced, plug 1 back into the equations and you get y=1 for both.
Therefore, the answer is D.
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