Solve the equation. Write the solution sets to the inequalities in interval notation. |5x-1|=|3-4x|

tinfoQ

tinfoQ

Answered question

2021-03-26

Solve the equation. Write the solution sets to the inequalities in interval notation.
|5x1|=|34x|

Answer & Explanation

BleabyinfibiaG

BleabyinfibiaG

Skilled2021-03-28Added 118 answers

Solve the given equation as shown, follow the steps below:
|5x1|=|34x|[recall: |a|=|b|a=±b]
5x1=±(34x) [add 1 in both sides]
5x=1±(34x)
Solve the two equations that occured.
5x=1(34x)
5x=13+4x
5x4x=2
x=2
5x=1+(34x)
5x=1+34x
5x+4x=1+3
9x=4
x=94
The solutions of this equation are the x=-2 and x=94

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