Question

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

Answer 1

`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, `(0, 0)`. Therefore, `y=0` and `x=0`.

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

`y=5x`
`0=5*0`
`0=0\ sqrt`