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Chapter 2: Q.20. (page 111)

Solve the linear equation-15+42-5y=-7y-4+4.

Short Answer

Expert verified

The solution isy=-3.

Step by step solution

01

Step 1. Given information.

The given equation is-15+42-5y=-7y-4+4.

02

Step 2. Apply the distributive property to simplify the equation.

Simplify each side of the equation.

-15+4脳2-4脳5y=-7y+7脳4+4-15+8-20y=-7y+28+4-7-20y=-7y+32

03

Step 3. Collect all variables terms on other side of the equation.

Add 7yto each side.

-7-20y+7y=-7y+32+7y-7-13y=32

04

Step 4. Collect all constant terms on other side of the equation and then simplify.

Add 7to each side.

-7-13y+7=32+7-13y=39

Divide by -13on both sides.

-13y-13=39-13y=-3

Hence, the solution of the given equation isy=-3.

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