Chapter 2: Q.25. (page 111)

Solve the linear equation $4 [5 - 8 (4 c - 3)] = 12 (1 - 13 c) - 8$ .

Short Answer

Expert verified

The solution is $c = - 4$ .

Step by step solution

Step 1. Given information.

The given equation is $4 [5 - 8 (4 c - 3)] = 12 (1 - 13 c) - 8$ .

Step 2. Simplify the inner most parenthesis first.

$4 [5 - 8 (4 c - 3)] = 12 (1 - 13 c) - 8 4 [5 - 32 c + 24] = 12 (1 - 13 c) - 8 4 [5 + 24 - 32 c] = 12 (1 - 13 c) - 8 4 [29 - 32 c] = 12 (1 - 13 c) - 8$

Step 3. Apply the distributive property to simplify the equation.

Simplify each side of the equation.

$4 \times 29 - 4 \times 32 c = 12 \times 1 - 12 \times 13 c - 8 116 - 128 c = 12 - 156 c - 8 - 128 c + 116 = - 156 c + 4$

Step 4. Collect all variables terms on other side of the equation.

Add $156 c$ to each side.

$- 128 c + 116 + 156 c = - 156 c + 4 + 156 c 28 c + 116 = 4$

Step 5. Collect all constant terms on other side of the equation and then simplify.

Subtract $116$ from each side.

$28 c + 116 - 116 = 4 - 116 28 c = - 112$

Divide each side by $28$ .

$\frac{28 c}{28} = \frac{- 112}{28} c = - 4$

Hence, the required solution is $c = - 4$ .

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Solve the linear equation $4 [5 - 8 (4 c - 3)] = 12 (1 - 13 c) - 8$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplify the inner most parenthesis first.

Step 3. Apply the distributive property to simplify the equation.

Step 4. Collect all variables terms on other side of the equation.

Step 5. Collect all constant terms on other side of the equation and then simplify.

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Solve the linear equation45-84c-3=121-13c-8.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplify the inner most parenthesis first.

Step 3. Apply the distributive property to simplify the equation.

Step 4. Collect all variables terms on other side of the equation.

Step 5. 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

Probability and Statistics

Discrete Mathematics

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Theoretical and Mathematical Physics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Solve the linear equation $4 [5 - 8 (4 c - 3)] = 12 (1 - 13 c) - 8$ .