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
Peter believes (−4,7) is a solution.
Peter believes left parenthesis negative 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.
Fiona believes (4,7) is a solution.
Fiona believes left parenthesis 4 comma 7 right parenthesis is a solution.
Mary believes (4,−7) is a solution.
To determine the correct solution for the equation 1.5x - 2y = 8, we can substitute the values from each solution option into the equation and see which one satisfies it.
1) Peter believes (-4, 7) is a solution:
Substituting x = -4 and y = 7 into the equation:
1.5(-4) - 2(7) = -6 - 14 = -20, which is not equal to 8.
So, (-4, 7) is not the correct solution.
2) Sam believes (-4, -7) is a solution:
Substituting x = -4 and y = -7 into the equation:
1.5(-4) - 2(-7) = -6 + 14 = 8, which is equal to 8.
So, (-4, -7) is a correct solution.
3) Fiona believes (4, 7) is a solution:
Substituting x = 4 and y = 7 into the equation:
1.5(4) - 2(7) = 6 - 14 = -8, which is not equal to 8.
So, (4, 7) is not the correct solution.
4) Mary believes (4, -7) is a solution:
Substituting x = 4 and y = -7 into the equation:
1.5(4) - 2(-7) = 6 + 14 = 20, which is not equal to 8.
So, (4, -7) is not the correct solution.
Based on the above analysis, the correct solution for the equation 1.5x - 2y = 8 is:
Sam believes (-4, -7) is a solution.