Solve the equation. \frac{3x+1}{6x-2}=\frac{2x+5}{4x-13}

Edmund Adams

Edmund Adams

Answered question

2021-11-19

Solve the equation.
3x+16x2=2x+54x13

Answer & Explanation

Twereen

Twereen

Beginner2021-11-20Added 13 answers

Step 1
We have the given equation as
3x+16x2=2x+54x13
Step 2
On doing the cross multiplication and on solving further, we get the result as
(3x+1)(4x-13)=(2x+5)(6x-2)
(3x)*(4x-13)+(1)*(4x-13)=(2x)*(6x-2)+(5)*(6x-2)
12x239x+4x13=12x24x+30x10
12x239x+4x1312x2+4x30x+10=0
-61x-3=0
x=361
Hence, value of x from the equation 3x+16x2=2x+54x13 is 361.
Lauren Fuller

Lauren Fuller

Beginner2021-11-21Added 14 answers

3x+16x2=2x+54x13
3x+12(3x1)=2x+54x13
3x6x2+16x2=2x4x13+54x13
x=361

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