To determine which solution is correct, we can substitute each solution into the equation and see if it satisfies the equation.
1. Mary believes (4, -7) is a solution.
Substituting x=4 and y=-7 into the equation:
1.5(4) - 2(-7) = 6 + 14 = 20
The equation does not hold, so (4, -7) is not a solution.
2. Fiona believes (4, 7) is a solution.
Substituting x=4 and y=7 into the equation:
1.5(4) - 2(7) = 6 - 14 = -8
The equation does not hold, so (4, 7) is not a solution.
3. Sam believes (-4, -7) is a solution.
Substituting x=-4 and y=-7 into the equation:
1.5(-4) - 2(-7) = -6 + 14 = 8
The equation holds, so (-4, -7) is a solution.
4. Peter believes (-4, 7) is a solution.
Substituting x=-4 and y=7 into the equation:
1.5(-4) - 2(7) = -6 - 14 = -20
The equation does not hold, so (-4, 7) is not a solution.
Based on the calculations, the correct solution is (-4, -7), which was Sam's solution.
The math teacher asked his students to determine a solution for
1.5x - 2y = 8. Which solution below is the correct one? (1 point)
• Mary believes (4, -7) is a solution.
• Fiona believes (4, 7) is a solution.
• Sam believes (—4, —7) is a solution.
• Peter believes (—4, 7) is a solution.
1 answer