Chapter 1: Q31 (page 10)

Find the value of the variable.
$(2 g - 15) + g = 9$

Short Answer

Expert verified

The value of the variable is $g = 8$ .

Step by step solution

Step 1. Combine the like terms.

First, remove all the brackets and combine the like terms 2g and g.

$\begin{array}{l} (2 g - 15) + g = 9 \\ 2 g - 15 + g = 9 \\ 3 g - 15 = 9 \end{array}$

Step 2. Add 15.

To find the value of variable g in the equation $3 g - 15 = 9$ , add 15 on both sides of the equation.

$\begin{array}{l} 3 g - 15 + 15 = 9 + 15 \\ 3 g = 24 \end{array}$

Step 3. Divide by 3.

Divide both sides of the equation $3 g = 24$ by 3 and cancel the common factors of 3 on both sides.

$\begin{array}{l} \frac{3 g}{3} = \frac{24}{3} \\ g = \frac{3 \times 8}{3} \\ g = 8 \end{array}$

Step 4. Verify the value.

In order to verify the value of g, substitute 8 for g into the equation $(2 g - 15) + g = 9$ .

$\begin{array}{l} (2 \times 8 - 15) + 8 = 9 \\ (16 - 15) + 8 = 9 \\ 1 + 8 = 9 \\ 9 = 9 True \end{array}$

Hence, the value of the variable is $g = 8$ .

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Find the value of the variable.
$(2 g - 15) + g = 9$

Short Answer

Step by step solution

Step 1. Combine the like terms.

Step 2. Add 15.

Step 3. Divide by 3.

Step 4. Verify the value.

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Find the value of the variable.2g−15+g=9

Short Answer

Step by step solution

Step 1. Combine the like terms.

Step 2. Add 15.

Step 3. Divide by 3.

Step 4. Verify the value.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Applied Mathematics

Logic and Functions

Probability and Statistics

Geometry

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find the value of the variable.
$(2 g - 15) + g = 9$