[tex]3x+2y=17 \ \ \ |\times (-2) \\
2x+5y=26 \ \ \ |\times 3 \\ \\
-6x-4y=-34 \\
\underline{6x+15y=78 \ \ \ \ \ } \\
15y-4y=78-34 \\
11y=44 \ \ \ |\div 11 \\
y=4 \\ \\
3x+2y=17 \\
3x+2 \times 4=17 \\
3x+8=17 \ \ \ |-8 \\
3x=9 \ \ \ |\div 3 \\
x=3 \\ \\
\boxed{(x,y)=(3,4)}[/tex]
