Chapter 2: Q.24. (page 111)

Solve the linear equation $3 (a - 2) - (a + 6) = 4 (a - 1)$ .

Short Answer

Expert verified

The solution is $a = - 4$ .

Step by step solution

Step 1. Given information.

The given equation is $3 (a - 2) - (a + 6) = 4 (a - 1)$ .

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

Simplify each side of the equation.

$3 a - 3 \times 2 - a - 6 = 4 a - 4 \times 1 3 a - 6 - a - 6 = 4 a - 4 2 a - 12 = 4 a - 4$

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

Subtract $4 a$ from each side.

$2 a - 12 - 4 a = 4 a - 4 - 4 a - 2 a - 12 = - 4$

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

Add $12$ to each side.

$- 2 a - 12 + 12 = - 4 + 12 - 2 a = 8$

Divide each side by $- 2$ .

$\frac{- 2 a}{- 2} = \frac{8}{- 2} a = - 4$

Hence, the solution of the given equation is $a = - 4$ .

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Solve the linear equation $3 (a - 2) - (a + 6) = 4 (a - 1)$ .

Short Answer

Step by step solution

Step 1. Given information.

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

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

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

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Solve the linear equation3a-2-a+6=4a-1.

Short Answer

Step by step solution

Step 1. Given information.

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

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

a=-4Step 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

Probability and Statistics

Discrete Mathematics

Calculus

Mechanics Maths

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Logic and Functions

Study anywhere. Anytime. Across all devices.

Solve the linear equation $3 (a - 2) - (a + 6) = 4 (a - 1)$ .