To determine if \( c = 11 \) is a solution to the equation \( 13 = c + 2 \), we can substitute \( c \) with 11 and check the validity of the equation.
Starting with the original equation:
\[ 13 = c + 2 \]
Substituting \( c = 11 \):
\[ 13 = 11 + 2 \]
Calculating the right side:
\[ 11 + 2 = 13 \]
Now, we have:
\[ 13 = 13 \]
Since both sides of the equation are equal, \( c = 11 \) is indeed a solution to the equation.