Answer
(1,3)
Work Step by Step
Solve each equation for y, Find and plot 3 points for each equation and connect with a line.
$x+y=4$
$x+y-x=4-x$
$y=4-x$
$\underline{x\ \ \ \ \ \ \ \ 4-x\ \ \ \ \ \ \ \ y}$
$0\ \ \ \ \ \ \ \ 4-0\ \ \ \ \ \ \ \ 4$
$4\ \ \ \ \ \ \ \ 4-4\ \ \ \ \ \ \ \ 0$
$6\ \ \ \ \ \ \ \ 4-6\ \ \ \ \ -2$
$2x+y=5$
$2x+y-2x=5-2x$
$y=5-2x$
$\underline{x\ \ \ \ \ \ \ \ 5-2x\ \ \ \ \ \ \ \ y\ \ \ \ }$
$0\ \ \ \ \ \ \ \ 5-2(0)\ \ \ \ \ \ \ \ 5$
$2.5\ \ \ \ \ 5-2(2.5)\ \ \ \ \ 0$
$4\ \ \ \ \ \ \ \ 5-2(4)\ \ \ \ \ -3$
The lines intersect where x=1 and y=3.
$1+3=4\ \checkmark$
$5-2(1)=3\ \checkmark$
