(3,5) is a solution to the following system of linear equations−15+7=13−=1

To know if (3,5) is a solution to the system, we have to evaluate each equation when x = 3 and y = 5, if these numbers satisfy each equation, then the pair is a solution to the system.
EVALUATING THE FIRST EQUATION.
[tex]\begin{gathered} -15x+7y=1 \\ -15\cdot3+7\cdot5=1 \\ -45+35=1 \\ -10=1 \end{gathered}[/tex]Note that this result is false because 1 and -10 are not equal, which means the given pair doesn't satisfy the equation nor the system.