How do you solve the system by graphing y = x and y = 5x?

Apr 18, 2017

$y = x = 0$

Explanation:

graph{(y-x)(y-5x)=0 [-10, 10, -5, 5]}

Graph the two lines. The solution occurs when they intersect. As seen in the above graph, the two lines only intersect at the origin, $\left(0 , 0\right)$. Therefore, $y = 0$ and $x = 0$.

Check:
$y = x$
0=0\ sqrt

$y = 5 x$
$0 = 5 \cdot 0$
0=0\ sqrt