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Chapter 2: Q.46. (page 112)

Solve the below equation with fraction coefficients.

56y-13=-76

Short Answer

Expert verified

The solution isy=-1.

Step by step solution

01

Step 1. Given information.

The given equation is56y-13=-76.

02

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

We know that the LCM of denominators 6,3,6is 6.

So, the LCD of all fractions 56,13,-76is6.6

03

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

Multiply both the sides by 6.

656y-13=6-765y-2=-7

04

Step 4. Solve the above equation.

Add 2on both sides.

5y-2+2=-7+25y=-5

Divide each side by 5.

5y5=-55y=-1

Hence, the solution of the given equation isy=-1.

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