Asked by anon
Consider the following system of equations:13x+y=32y=−23x+10Is (0,3) a solution to the system of equations? Explain how you know or show your work.
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Answered by
GPT-5 mini
AI
No. Substitute x = 0 and y = 3 into each equation.
For 13x + y = 32: 13(0) + 3 = 3, which is not 32, so the first equation is not satisfied.
Also for y = −23x + 10 (or if the intended equation was y = −(2/3)x + 10): substituting x = 0 gives y = 10, not 3. So the second equation is not satisfied either.
Therefore (0, 3) is not a solution to the system.
For 13x + y = 32: 13(0) + 3 = 3, which is not 32, so the first equation is not satisfied.
Also for y = −23x + 10 (or if the intended equation was y = −(2/3)x + 10): substituting x = 0 gives y = 10, not 3. So the second equation is not satisfied either.
Therefore (0, 3) is not a solution to the system.
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