To determine which of the proposed pairs is a solution to the equation \(1.5x - 2y = 8\), we can substitute each pair into the equation and see if the equation holds true.
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For Peter's solution \((-4, 7)\): \[ 1.5(-4) - 2(7) = -6 - 14 = -20 \quad \text{(not equal to 8)} \]
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For Fiona's solution \((4, 7)\): \[ 1.5(4) - 2(7) = 6 - 14 = -8 \quad \text{(not equal to 8)} \]
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For Mary's solution \((4, -7)\): \[ 1.5(4) - 2(-7) = 6 + 14 = 20 \quad \text{(not equal to 8)} \]
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For Sam's solution \((-4, -7)\): \[ 1.5(-4) - 2(-7) = -6 + 14 = 8 \quad \text{(equal to 8)} \]
The only pair that satisfies the equation \(1.5x - 2y = 8\) is Sam's solution \((-4, -7)\). Therefore, the correct answer is:
Sam believes \((-4, -7)\) is a solution.
1 answer