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Chapter 2: Q.19. (page 111)

Solve the linear equation12+25-3y=-9y-1-2.

Short Answer

Expert verified

The solution isy=-5.

Step by step solution

01

Step 1. Given information.

The given equation is12+25-3y=-9y-1-2.

02

Step 2. Apply the distributive property to simplify the equation ab+c=ab+ac.

Simplify each side of the equation.

12+25-3y=-9y-1-212+2脳5-2脳3y=-9y+9-212+10-6y=-9y+722-6y=-9y+7

03

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

Add 9yto each side of the equation.

22-6y+9y=-9y+7+9y22+3y=7

04

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

Subtract 22from each side.

22+3y=722+3y-22=7-223y=-15

Divide by 3on both sides.

3y3=-153y=-5

Hence, the solution of the given linear equation isy=-5.

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