Chapter 1: Q30 (page 10)

Find the value of the variable.
$x + 9 x = 5$

Short Answer

Expert verified

The value of the variable is $x = \frac{1}{2}$ .

Step by step solution

Step 1. Combine the like terms.

To simplify combine the like terms x and 9x.

$\begin{array}{l} x + 9 x = 5 \\ 10 x = 5 \end{array}$

Step 2. Divide by 10.

To find the value of variable x in the equation $10 x = 5$ , divide both sides of the equation by 10.

$\frac{10 x}{10} = \frac{5}{10}$

Step 3. Simplify the equation.

To further simplify, cancel the common factors of 10 on both sides.

$\begin{array}{l} \frac{10 x}{10} = \frac{5}{5 \times 2} \\ x = \frac{1}{2} \end{array}$

Step 4. Verify the value.

In order to verify the value of x, substitute $\frac{1}{2}$ for x into the equation $x + 9 x = 5$ .

$\begin{array}{l} \frac{1}{2} + 9 \times \frac{1}{2} = 5 \\ \frac{10}{2} = 5 \\ 5 = 5 True \end{array}$

Hence, the value of the variable is $x = \frac{1}{2}$ .

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Find the value of the variable.
$x + 9 x = 5$

Short Answer

Step by step solution

Step 1. Combine the like terms.

Step 2. Divide by 10.

Step 3. Simplify the equation.

Step 4. Verify the value.

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Find the value of the variable.x+9x=5

Short Answer

Step by step solution

Step 1. Combine the like terms.

Step 2. Divide by 10.

Step 3. Simplify the equation.

Step 4. Verify the value.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Logic and Functions

Theoretical and Mathematical Physics

Mechanics Maths

Discrete Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

Find the value of the variable.
$x + 9 x = 5$