Chapter 1: Q33 (page 10)

Find the value of the variable.
$(w - 20) + 5 w = 28$

Short Answer

Expert verified

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

Step by step solution

Step 1. Combine the like terms.

First remove all the brackets and combine the like terms w and 5w.

$\begin{array}{l} (w - 20) + 5 w = 28 \\ w - 20 + 5 w = 28 \\ 6 w - 20 = 28 \end{array}$

Step 2. Add 20.

To find the value of variable w in the equation $6 w - 20 = 28$ , add 20 on both sides of the equation.

$\begin{array}{l} 6 w - 20 + 20 = 28 + 20 \\ 6 w = 48 \end{array}$

Step 3. Divide by 6.

Divide both sides of the equation $6 w = 48$ by 6 and cancel the common factors of 6 on both sides.

$\begin{array}{l} \frac{6 w}{6} = \frac{48}{6} \\ w = \frac{6 \times 8}{6} \\ w = 8 \end{array}$

Step 4. Verify the value.

In order to verify the value of w, substitute 8 for w into the equation $(w - 20) + 5 w = 28$ .

$\begin{array}{l} (8 - 20) + 5 \times 8 = 28 \\ (- 12) + 40 = 28 \\ 28 = 28 True \end{array}$

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

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Find the value of the variable.
$(w - 20) + 5 w = 28$

Short Answer

Step by step solution

Step 1. Combine the like terms.

Step 2. Add 20.

Step 3. Divide by 6.

Step 4. Verify the value.

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Find the value of the variable.w−20+5w=28

Short Answer

Step by step solution

Step 1. Combine the like terms.

Step 2. Add 20.

Step 3. Divide by 6.

Step 4. Verify the value.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Theoretical and Mathematical Physics

Logic and Functions

Geometry

Pure Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

Find the value of the variable.
$(w - 20) + 5 w = 28$