Solve the absolute value equation. -11/4+2/3|3y-6|=-2

Irvin Dukes

Irvin Dukes

Answered question

2021-12-08

Solve the absolute value equation.
-11/4+2/3|3y-6|=-2

Answer & Explanation

Lakisha Archer

Lakisha Archer

Beginner2021-12-09Added 39 answers

Given inequality:
114+23|3y6|=2
We get 114+23|3y6|=2 and 114+23|3y6|=2
Firstly take 114+23|3y6|=2
Add 11/4 on both sides
23|3y6|=34
Multiply by 3 on both sides
2|3y6|=94
Now we get
2(3y6)=94
And, 2(3y6)=94
Firstly take 2(3y6)=94
Divide by 2 on both sides
3y6=98
Add 6 on both sides
3y6+6=98+6
3y=578
Divide by 3 on both sides
y=198
Step 3
Now take 2(3y6)=94
Divide by 2 on both sides
3y6=98
Add 6 on both sides
3y6+6=98+6
3y=388
Divide by 3 on both sides
y=138
Therefore, the value of y=13/8 and 19/8.

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