To determine if (4, 7) is a solution for the equation \(1.5x - 2y = 8\), we can substitute \(x = 4\) and \(y = 7\) into the equation:
\[ 1.5(4) - 2(7) = 8 \]
Calculating each term:
\[ 1.5 \times 4 = 6 \] \[ -2 \times 7 = -14 \]
Now, substituting in:
\[ 6 - 14 = 8 \]
This simplifies to:
\[ -8 \neq 8 \]
Since the left side of the equation does not equal the right side, (4, 7) is not a solution for the equation \(1.5x - 2y = 8\).
If you have more options provided by Mary or others, I can check those as well.