Chapter 2: Q.18. (page 111)

Solve the linear equation $9 (2 m - 3) - 8 = 4 m + 7$ .

Short Answer

Expert verified

The solution is $m = 3$ .

Step by step solution

Step 1. Given information.

The given equation is $9 (2 m - 3) - 8 = 4 m + 7$ .

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

Simplify each side of the equation.

$9 (2 m - 3) - 8 = 4 m + 7 9 \times 2 m - 9 \times 3 - 8 = 4 m + 7 18 m - 27 - 8 = 4 m + 7 18 m - 35 = 4 m + 7$

Step 3. Collect all variable terms on one side of the equation.

Subtract $4 m$ from each side.

$18 m - 35 - 4 m = 4 m + 7 - 4 m 14 m - 35 = 7$

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

Add $35$ to each side.

$14 m - 35 + 35 = 7 + 35 14 m = 42$

Divide by $14$ on both sides.

$\frac{14 m}{14} = \frac{42}{14} m = 3$

Hence, the solution of the given equation is $m = 3$ .

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Solve the linear equation $9 (2 m - 3) - 8 = 4 m + 7$ .

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 variable terms on one 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 equation92m-3-8=4m+7.

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 variable terms on one 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

Mechanics Maths

Calculus

Applied Mathematics

Decision Maths

Geometry

Study anywhere. Anytime. Across all devices.

Solve the linear equation $9 (2 m - 3) - 8 = 4 m + 7$ .