# How do you solve and check for extraneous solutions in #abs(2t-3) = t#?

##### 1 Answer

Aug 1, 2015

**SOLVE**

We need to write two different equations without the absolute value symbols and solve for

These equations are:

**(1): **

**(2): **

**Solve Equation 1:**

Subtract

Add

**Solve Equation 2:**

Remove parentheses.

Add

Divide each side by

The solutions are

**CHECK FOR EXTRANEOUS SOLUTIONS:**

If

This is impossible, so

If