Answer
$x=14$ in
$y=22$ in
Work Step by Step
To solve this system of equations, we use the graphing method.
$x+y=36$
$y=x+8$
Taking the first equation, we solve for y.
$x+y=36$
$y=36-x$
Find three solutions:
For x=2,
$y=36-x$
$y=36-2$
$y=34$
For x=0,
$y=36-x$
$y=36-0$
$y=36$
For x=-2,
$y=36-x$
$y=36-(-2)$
$y=36+2$
$y=38$
With the three points, $(2,34), (0,36), (-2,38)$, we can graph the straight line that goes through these points.
Taking the second equation, we find three solutions:
For x=2,
$y=x+8$
$y=2+8$
$y=10$
For x=0,
$y=x+8$
$y=0+8$
$y=8$
For x=-2,
$y=x+8$
$y=-2+8$
$y=6$
With the three points, $(2,10), (0,8), (-2,6)$ we can graph the straight line that goes through these points.
The intersection point between these two lines is the answer to the system of equations.
