$$ 1 \leftarrow $$ Watch the video and then solve the problem given below. Click here to watch the video. Solve. $$ |2 a+6|=|3 a-8| $$

Question

UpStudy AI · Accepted Answer

Solve the equation $$ |2a+6|=|3a-8| $$.
Solve the equation by following steps:
- step0: Solve for $$a$$:
  $$\left|2a+6ight|=\left|3a-8ight|$$
- step1: Evaluate:
  $$\begin{align}&2a+6=3a-8\&2a+6=-\left(3a-8ight)\end{align}$$
- step2: Calculate:
  $$\begin{align}&a=14\&a=\frac{2}{5}\end{align}$$
- step3: Rewrite:
  $$a_{1}=\frac{2}{5},a_{2}=14$$
The solutions to the equation $$|2a+6|=|3a-8|$$ are $$a=\frac{2}{5}$$ and $$a=14$$.
The solutions are $$ a=\frac{2}{5} $$ and $$ a=14 $$.

Watch the video and then solve the problem given below.
Click here to watch the video.
Solve.

Upstudy AI Solution

Answer

Solution

Mind Expander

Related Questions

Latest Algebra Questions