The math teacher asked his students to determine a solution for 1.5x−2y=8 . Which solution below is the correct one?(1 point) Responses
Sam believes (−4,−7) is a solution.
Fiona believes (4,7) is a solution.
Mary believes (4,−7) is a solution.
Peter believes (−4,7) is a solution.
To determine the correct solution for the equation 1.5x - 2y = 8, we can substitute the values into the equation and see if it holds true.
For Sam's solution (-4,-7):
1.5(-4) - 2(-7) = 8
-6 + 14 = 8
8 = 8
The equation holds true for Sam's solution, so (-4, -7) is a correct solution.
For Fiona's solution (4,7):
1.5(4) - 2(7) = 8
6 - 14 = 8
-8 = 8
The equation does not hold true for Fiona's solution, so (4, 7) is not a correct solution.
For Mary's solution (4,-7):
1.5(4) - 2(-7) = 8
6 + 14 = 8
20 = 8
The equation does not hold true for Mary's solution, so (4, -7) is not a correct solution.
For Peter's solution (-4,7):
1.5(-4) - 2(7) = 8
-6 - 14 = 8
-20 = 8
The equation does not hold true for Peter's solution, so (-4, 7) is not a correct solution.
Therefore, the correct solution is Sam's solution: (-4, -7).