To determine which of the proposed solutions is correct for the equation \( 1.5x - 2y = 8 \), we can substitute each pair of \((x, y)\) values into the equation and check if the left side equals the right side (8).
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Fiona's solution (4, 7): \[ 1.5(4) - 2(7) = 6 - 14 = -8 \quad (\text{not a solution}) \]
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Peter's solution (-4, 7): \[ 1.5(-4) - 2(7) = -6 - 14 = -20 \quad (\text{not a solution}) \]
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Sam's solution (-4, -7): \[ 1.5(-4) - 2(-7) = -6 + 14 = 8 \quad (\text{is a solution}) \]
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Mary's solution (4, -7): \[ 1.5(4) - 2(-7) = 6 + 14 = 20 \quad (\text{not a solution}) \]
The correct solution is Sam's solution (-4, -7).
1 answer