Answer
$(10,7)$ is not a solution of the system.
Work Step by Step
An ordered pair is a solution to the system if it satisfies both equatons:
$ \begin{array}{lllll}
6(10)-5(7) & =25 & .... & 4(10)+15(13) & =13\\
60-35 & =25 & & 40+195 & =13\\
25 & =25 & & 235 & =13\\
TRUE & & & FALSE &
\end{array} $
$(10,7)$ is not a solution of the system.
