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Chapter 2: Q.44. (page 112)

Solve the below equation with fraction coefficients.

34x-12=14

Short Answer

Expert verified

The solution isx=1.

Step by step solution

01

Step 1. Given information.

The given equation is34x-12=14.

02

Step 2. Find the least common denominator of all fractions in the given equation.

We know that the LCM of denominators 4,2,4is 4.

So, the LCD of all fractions given in the equation14,12,34is4.

03

Step 3. Multiply both sides of the equation with LCD.

Multiply both the side by 4.

434x-12=4144脳34x-4脳12=4脳143x-2=1

04

Step 4. Simplify the above equation.

Add 2on both sides.

3x-2+2=1+23x=3

Divide each side by 3.

3x3=33x=1

Hence, the solution of the given equation isx=1.

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