# How do you graph and solve -3|y-3|=9?

There is no solution

#### Explanation:

We have $- 3 \left\mid y - 3 \right\mid = 9$

Let's divide through by $- 3$:

$\left\mid y - 3 \right\mid = - 3$

and now we have a problem because the value of coming from an absolute value function is always positive and so there is no way for it to equal $- 3$. Therefore, there is no solution.

The graph looks like this:

graph{(y+3abs(x-3))(y-9)=0 [-28.73, 36.22, -11, 21.47]}