Bot GPT 4-o mini To determine if (7, 3) is a solution to the system of equations, we need to substitute x = 7 and y = 3 into both equations and check if they hold true.
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For the first equation: \(3x + 2y = 5\) Substituting (7, 3): \(3(7) + 2(3) = 21 + 6 = 27\) This does not equal 5, so the first equation is not satisfied.
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For the second equation: \(-x + 6y = 11\) Substituting (7, 3): \(-7 + 6(3) = -7 + 18 = 11\) This equation is satisfied.
Since (7, 3) does not satisfy the first equation, it is not a solution to the system of equations.
Therefore, the correct response is:
No, because the graphs intersect at (7, 3).
1 answer