Question

Determine a solution for 1.5x - 2y = 8
A. -4, 7
B. 4, -7
C. 4, 7
D. -4, -7

Answer 1

To determine a solution to the equation \( 1.5x - 2y = 8 \), we can substitute the values from the options given (A, B, C, D) to see which one satisfies the equation.

### Option A: \((-4, 7)\)

Substituting \( x = -4 \) and \( y = 7 \):

\[
1.5(-4) - 2(7) = -6 - 14 = -20 \quad (\text{not } 8)
\]

### Option B: \((4, -7)\)

Substituting \( x = 4 \) and \( y = -7 \):

\[
1.5(4) - 2(-7) = 6 + 14 = 20 \quad (\text{not } 8)
\]

### Option C: \((4, 7)\)

Substituting \( x = 4 \) and \( y = 7 \):

\[
1.5(4) - 2(7) = 6 - 14 = -8 \quad (\text{not } 8)
\]

### Option D: \((-4, -7)\)

Substituting \( x = -4 \) and \( y = -7 \):

\[
1.5(-4) - 2(-7) = -6 + 14 = 8 \quad (\text{this is } 8)
\]

Thus, the correct solution is

\(\boxed{D}\) \((-4, -7)\).