Chapter 2: Q.19. (page 111)

Solve the linear equation $12 + 2 (5 - 3 y) = - 9 (y - 1) - 2$ .

Short Answer

Expert verified

The solution is $y = - 5$ .

Step by step solution

Step 1. Given information.

The given equation is $12 + 2 (5 - 3 y) = - 9 (y - 1) - 2$ .

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

Simplify each side of the equation.

$12 + 2 (5 - 3 y) = - 9 (y - 1) - 2 12 + 2 \times 5 - 2 \times 3 y = - 9 y + 9 - 2 12 + 10 - 6 y = - 9 y + 7 22 - 6 y = - 9 y + 7$

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

Add $9 y$ to each side of the equation.

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

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

Subtract $22$ from each side.

$22 + 3 y = 7 22 + 3 y - 22 = 7 - 22 3 y = - 15$

Divide by $3$ on both sides.

$\frac{3 y}{3} = - \frac{15}{3} y = - 5$

Hence, the solution of the given linear equation is $y = - 5$ .

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Solve the linear equation $12 + 2 (5 - 3 y) = - 9 (y - 1) - 2$ .

Short Answer

Step by step solution

Step 1. Given information.

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

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

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

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

Short Answer

Step by step solution

Step 1. Given information.

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

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

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

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Study anywhere. Anytime. Across all devices.

Solve the linear equation $12 + 2 (5 - 3 y) = - 9 (y - 1) - 2$ .