Answer
$x=4$
$y=16$
Work Step by Step
To solve this system of equations, we use the graphing method.
$y=4x$
$x+y=20$
Taking the first equation, we find three solutions:
For x=2,
$y=4x$
$y=4(2)$
$y=8$
For x=0,
$y=4x$
$y=4(0)$
$y=0$
For x=-2,
$y=4x$
$y=4(-2)$
$y=-8$
With the three points, $(2,8), (0,0), (-2,-8)$, we can graph the straight line that goes through these points.
Taking the second equation, we solve for y.
$x+y=20$
$y=20-x$
Find three solutions:
For x=2,
$y=20-x$
$y=20-2$
$y=18$
For x=0,
$y=20-x$
$y=20-0$
$y=20$
For x=-2,
$y=20-x$
$y=20-(-2)$
$y=22$
With the three points, $(2,18), (0,20), (-2,22)$, 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.
