Question

the math teacher asked his students to determine a solution for (1.5x - 2y = 8). which solution below is the correct one?

• sam believes ((-4, -7)) is a solution.
• peter believes ((-4, 7)) is a solution.
• fiona believes ((4, 7)) is a solution.
• mary believes ((4, -7)) is a solution.

Explanation:

Step1: Test Sam's solution

Substitute $x=-4, y=-7$ into $1.5x - 2y = 8$:
$1.5(-4) - 2(-7) = -6 + 14 = 8$

Step2: Test Peter's solution

Substitute $x=-4, y=7$ into $1.5x - 2y = 8$:
$1.5(-4) - 2(7) = -6 - 14 = -20
eq 8$

Step3: Test Fiona's solution

Substitute $x=4, y=7$ into $1.5x - 2y = 8$:
$1.5(4) - 2(7) = 6 - 14 = -8
eq 8$

Step4: Test Mary's solution

Substitute $x=4, y=-7$ into $1.5x - 2y = 8$:
$1.5(4) - 2(-7) = 6 + 14 = 20
eq 8$

Answer:

Sam believes $(-4, -7)$ is a solution.