To solve the system of equations using the substitution method, we'll start with the two equations:
- \( 2x + 2y = 16 \)
- \( y = x - 4 \)
We can substitute the expression for \( y \) from the second equation into the first equation.
- Substitute \( y \) in the first equation:
\[ 2x + 2(x - 4) = 16 \]
- Simplify this equation:
\[ 2x + 2x - 8 = 16 \] \[ 4x - 8 = 16 \]
- Add 8 to both sides:
\[ 4x = 24 \]
- Divide by 4:
\[ x = 6 \]
- Now substitute \( x = 6 \) back into the second equation to find \( y \):
\[ y = 6 - 4 = 2 \]
The solution to the system of equations is \( (x, y) = (6, 2) \).
Thus, the correct ordered pair is:
C. (6, 2)