To determine if \( k = 7 \) is a solution to the equation \( 10k = 109 \), we can substitute \( k \) with 7 in the equation and see if both sides are equal.
Substituting \( k = 7 \):
\[ 10(7) = 70 \]
Now, we can compare this to the right side of the original equation:
\[ 70 \neq 109 \]
Since \( 70 \) is not equal to \( 109 \), \( k = 7 \) is not a solution to the equation \( 10k = 109 \).