Answer
(6,3)
Work Step by Step
Multiply the second equation by -1. Add the equations to eliminate y.
$4x-7y=\ \ \ \ 3\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 4x-7y=\ \ 3$
$\ \ x-7y=-15\ \ \ \ $multiply by -1$\ \ \ \ \underline{\ -x+7y=15}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3x\ \ \ \ \ \ \ \ \ =18$
Solve for x.
$3x=18$
$3x\div3=18\div3$
$x=6$
Substitute 6 for x in either equation and solve for y.
$x-7y=-15$
$6-7y=-15$
$6-7y-6=-15-6$
$-7y=-21$
$-7y\div-7=-21\div-7$
$y=3$
