Answer :
We have the next system of equations
[tex]\begin{gathered} 2x-3y=13 \\ x+2y=4 \end{gathered}[/tex]We will multiply by -2 the second equation
[tex]\begin{gathered} -2(x+2y=4) \\ -2x-4y=-8 \end{gathered}[/tex]Then we sum
[tex]\begin{gathered} \text{ 2x-3y=13} \\ +-2x-4y=-8 \end{gathered}[/tex]We simplify
[tex]\begin{gathered} -7y=5 \\ y=-\frac{5}{7} \end{gathered}[/tex]Then for x
[tex]x=-2(-\frac{5}{7})+4[/tex]Then we simplify
[tex]x=\frac{38}{7}[/tex]ANSWER
x=38/7
y=-5/7