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
Fiona believes (4,7) is a solution.
Peter believes (−4,7) is a solution.
Mary believes (4,−7) is a solution.
Sam believes (−4,−7) is a solution.
To determine the correct solution for the equation 1.5x - 2y = 8, we need to substitute the values in each option and check if it satisfies the equation.
Let's test the options one by one:
1. Option (4,7):
Substituting x = 4 and y = 7 in the equation, we get:
1.5(4) - 2(7) = 6 - 14 = -8
2. Option (-4,7):
Substituting x = -4 and y = 7 in the equation, we get:
1.5(-4) - 2(7) = -6 - 14 = -20
3. Option (4,-7):
Substituting x = 4 and y = -7 in the equation, we get:
1.5(4) - 2(-7) = 6 + 14 = 20
4. Option (-4,-7):
Substituting x = -4 and y = -7 in the equation, we get:
1.5(-4) - 2(-7) = -6 + 14 = 8
Out of the given options, the only one that satisfies the equation is (-4,-7). Therefore, Sam's belief that (-4,-7) is a solution is correct.