The math teacher asked his students to determine a solution for 1.5x - 2y = 8. Which solution below is the correct one?
A. Mary believes (4, -7) is a solution.
B. Fiona believes (4, 7) is a solution.
C. Sam believes (-4, -7) is a solution.
D. Peter believes (-4, 7) is a solution.
To determine which solution is correct, we can substitute the coordinates into the equation and see if it is true.
A. (4, -7) -> 1.5(4) - 2(-7) = 6 + 14 = 20 (not equal to 8)
B. (4, 7) -> 1.5(4) - 2(7) = 6 - 14 = -8 (not equal to 8)
C. (-4, -7) -> 1.5(-4) - 2(-7) = -6 + 14 = 8 (equal to 8)
D. (-4, 7) -> 1.5(-4) - 2(7) = -6 - 14 = -20 (not equal to 8)
Therefore, the correct solution is C. Sam believes (-4, -7) is a solution.