Answer
(5,1)
Work Step by Step
Add the 2 equations.
$\ \ 5x+6y=31$
$\underline{\ \ 2x+6y=16}$ multiply by -1
$\ \ \ \ \ \ 5x+6y=\ \ \ \ 31$
$\underline{\ \ -2x-6y=-16}$
$\ \ \ \ \ \ \ 3x\ \ \ \ \ \ \ \ \ =\ \ \ \ 15$ divide both sides by 3
$\ \ \ \ \ \ \ \ \ x\ \ \ \ \ \ \ \ \ =\ \ \ \ \ \ 5$
Substitute and solve for y.
$5x+6y=31$
$5(5)+6y=31$
$25+6y-25=31-25$
$6y\div6=6\div6$
$y=1$
