we subtract the two equations to eliminate Y
[tex]\begin{gathered} y=3x+13 \\ y=7x+17 \\ ------------ \\ 0=-4x-4 \end{gathered}[/tex]and solve x
[tex]\begin{gathered} 0=-4x-4 \\ 4x=-4 \\ x=-\frac{4}{4} \\ \\ x=-1 \end{gathered}[/tex]the value of x is -1
now replace x=-1 on any equation to solve y
i will replace on firts equation
[tex]\begin{gathered} y=3(-1)+13 \\ y=-3+13 \\ y=10 \end{gathered}[/tex]the value of y is 10
the solution point is ( -1 , 10 )
