The math teacher asked his students to determine a solution for 1.5x−2y=8 . Which solution below is the correct one?(1 point)ResponsesPeter believes (−4,7) is a solution.Peter believes left parenthesis negative 4 comma 7 right parenthesis is a solution.Fiona believes (4,7) is a solution.Fiona believes left parenthesis 4 comma 7 right parenthesis is a solution.Sam believes (−4,−7) is a solution.Sam believes left parenthesis negative 4 comma negative 7 right parenthesis is a solution.Mary believes (4,−7) is a solution.
To determine the correct solution, we need to substitute the values into the equation and check if it satisfies the equation.
Let's consider the option (−4,7) :
1.5(-4) - 2(7) = -6 - 14 = -20 ≠ 8
So, (−4,7) is not a solution.
Similarly, let's check the other options:
(4,7):
1.5(4) - 2(7) = 6 - 14 = -8 ≠ 8
(−4,−7):
1.5(-4) - 2(-7) = -6 + 14 = 8
This option satisfies the equation, so (−4,−7) is the correct solution.