Answer
(1,2)
Work Step by Step
Multiply the first equation by 2, then add the equations to eliminate y.
$3x+\ \ y=\ \ \ 5\ \ \ \ $multiply by 2$\ \ \ \ 6x+2y=\ 10$
$2x-2y=-2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{2x-2y=-2}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 8x\ \ \ \ \ \ \ \ \ =\ \ \ 8$
Solve for x.
$8x=8$
$8x\div8=8\div8$
$x=1$
Substitute 1 for x in either equation and solve for y.
$3(1)+y=5$
$3+y-3=5-3$
$y=2$
