The point (5, -3) is a solution to which system? A. y = x - 8 2x + y = 7 B. y = x + 5 y = x - 3 C. y = x - 5 y = x + 3 D. y = x - 8 -2x + y = 7

To determine which system of equations has (5, -3) as a solution, we need to substitute the point into each of the given equations and see if they hold true.

**Option A:**
1. \( y = x - 8 \)
\[ -3 = 5 - 8 \]
\[ -3 = -3 \] (True)

2. \( 2x + y = 7 \)
\[ 2(5) + (-3) = 7 \]
\[ 10 - 3 = 7 \]
\[ 7 = 7 \] (True)

Both equations in Option A are satisfied, so (5, -3) is a solution to this system.

**Option B:**
1. \( y = x + 5 \)
\[ -3 = 5 + 5 \]
\[ -3 = 10 \] (False)

This option does not hold.

**Option C:**
1. \( y = x - 5 \)
\[ -3 = 5 - 5 \]
\[ -3 = 0 \] (False)

This option does not hold.

**Option D:**
1. \( y = x - 8 \)
\[ -3 = 5 - 8 \]
\[ -3 = -3 \] (True)

2. \( -2x + y = 7 \)
\[ -2(5) + (-3) = 7 \]
\[ -10 - 3 = 7 \]
\[ -13 = 7 \] (False)

This option does not hold.

Based on the checks, the only option in which (5, -3) is a solution is **Option :
- \( y = x - 8 \) and \( 2x + y = 7 \).

So, the correct answer is **A.**