Answer
$(\frac{2}{3},\frac{4}{3})$ or $(0.67, 1.34)$
Work Step by Step
To solve this system of equations, we use the graphing method.
$y=2x$
$y=-x+2$
Taking the first equation, we find three solutions:
For x=2,
$y=2x$
$y=2(2)$
$y=4$
For x=0,
$y=2x$
$y=2(0)$
$y=0$
For x=-2,
$y=2x$
$y=2(-2)$
$y=-4$
With the three points, $(2,4), (0,0), (-2,-4)$, we can graph the straight line that goes through these points.
Taking the second equation, we find three solutions:
For x=2,
$y=-x+2$
$y=-2+2$
$y=0$
For x=0,
$y=-x+2$
$y=-0+2$
$y=2$
For x=-2,
$y=-x+2$
$y=-(-2)+2$
$y=4$
With the three points, $(2,0), (0,2), (-2,4)$, 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.
