Question

Solve the equation

Check for extraneous solutions.

9 |9 − 8 x| = 2 x + 3

Please explain how you got it

Answer 1

Look at the picture.

`|a|=\left\{\begin{array}{ccc}a&for&a\geq0\\-a&for&a < 0\end{array}\right\\\\|9-8x|=\left\{\begin{array}{ccc}9-8x&for&x\in\left(-\infty,\ (9)/(8)\right]\\-(9-8x)&for&x\in\left((9)/(8),\ \infty\right)\end{array}\right`