Question

Solve and check the following absolute value equation: |3t-8|-10=-8

Answer 1

We have two solutions:

$t=10/3 \\ \\ t=2$

Explanation:

Let's solve this step by step:

Step 1. Add 10 to both sides of the equation

$\mid 3t-8 \mid -10 +10 =-8+10 \\ \\ \mid 3t-8 \mid =2$

Step 2. From property, we'll have two equations:

$Case \ 1: \\ \\ (3t-8)=2 \\ \\ 3t=2+8 \\ \\ 3t=10 \\ \\ t=10/3 \\ \\ \\ Case \ 2: \\ \\ -(3t-8)=2 \\ \\ -3t+8=2 \\ \\ 3t=8-2 \\ \\ 3t=6 \\ \\ t=2$

Finally, we have two solutions:

$t=10/3 \\ \\ t=2$

Learn more:

Absolute value of complex numbers: brainly.com/question/12541796

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