Answer
(3,4)
Work Step by Step
Multiply the first equation by 2. Multiply the second equation by -3. Add the equations to eliminate x.
$3x+2y=17\ \ \ \ $multiply by 2$\ \ \ \ \ \ \ 6x+\ 4y=\ \ \ 34$
$2x+5y=26\ \ \ \ $multiply y -3$\ \ \ \ \underline{-6x-15y=-78}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -11y=-44$
Solve for y.
$-11y=-44$
$-11y\div-11=-44\div-11$
$y=4$
Substitute 4 for y in either equation and solve for x.
$3x+2(4)=17$
$3x+8-8=17-8$
$3x=9$
$3x\div3=9\div3$
$x=3$
