To determine which of the proposed solutions is correct for the equation \( 1.5x - 2y = 8 \), we can substitute each pair of values (x, y) into the equation and see which one satisfies it.
-
Peter believes (−4, 7): \[ 1.5(-4) - 2(7) = -6 - 14 = -20 \quad (\text{not a solution}) \]
-
Mary believes (4, −7): \[ 1.5(4) - 2(-7) = 6 + 14 = 20 \quad (\text{not a solution}) \]
-
Fiona believes (4, 7): \[ 1.5(4) - 2(7) = 6 - 14 = -8 \quad (\text{not a solution}) \]
-
Sam believes (−4, −7): \[ 1.5(-4) - 2(-7) = -6 + 14 = 8 \quad (\text{this is a solution}) \]
The correct solution is given by Sam: (−4, −7).
1 answer