Solve the equation. \frac{9x}{3x-1}=2+\frac{3}{3x-1}

geduiwelh

geduiwelh

Answered question

2021-09-27

Solve the equation.
9x3x1=2+33x1

Answer & Explanation

Malena

Malena

Skilled2021-09-28Added 83 answers

Step 1
Given :
The equation is :
9x3x1=2+33x1
We have to solve the given equation.
Step 2
We have,
9x3x1=2+33x1
Multiply the given equation by (3x−1) on both sides
We get,
9x(3x1)(3x1)=(2+3(3x1))(3x1)
9x=2(3x1)+3(3x1)(3x1)
9x=2(3x1)+3
9x=2(3x)2(1)+3
9x=6x2+3
9x=6x+1
Subtract 6x on both sides
We get,
9x6x=6x6x+1
3x=1
Divide by 3 on both sides
We get,
13(3x)=13
x=13
Hence, after solving the equation we get x=13

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