Solve Absolutevalueequations |2x-3|=4x-1 Tiger Algebra Solver

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Enter an equation or problemClear Solve × Camera input is not recognized!axy/|abs|( )789*456-%123+<>0,.=abcabcdefghijklmnopqrstuvwxyz␣.Solution - Absolute value equations x=−1 x=-1 x=23 x=2/3

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Absolute value equations

Step by Step Solution

Absolute Value Equation entered :

|2x-3|=4x-1

Step by step solution :

Step 1 :

Rearrange this Absolute Value Equation

Absolute value equalitiy entered |2x-3| = 4x-1

Step 2 :

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.The Absolute Value term is |2x-3| For the Negative case we'll use -(2x-3) For the Positive case we'll use (2x-3)

Step 3 :

Solve the Negative Case

-(2x-3) = 4x-1 Multiply -2x+3 = 4x-1 Rearrange and Add up -6x = -4 Divide both sides by 6 -x = -(2/3) Multiply both sides by (-1) x = (2/3) Which is the solution for the Negative Case

Step 4 :

Solve the Positive Case

(2x-3) = 4x-1 Rearrange and Add up -2x = 2 Divide both sides by 2 -x = 1 Multiply both sides by (-1) x = -1 Which is the solution for the Positive Case

Step 5 :

Wrap up the solution

x=2/3 x=-1

Solutions on the Number Line

Two solutions were found :

1. x=-1
2. x=2/3

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Terms and topics

• Absolute value equations

Related links

• Algebra - Absolute Value Equations

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