Chapter 1: Q39 (page 10)

Find the value of the variable.
$7 h + (90 - h) = 210$

Short Answer

Expert verified

The value of the variable is $h = 20$ .

Step by step solution

Step 1. Combine the like terms.

First remove all the brackets and combine the like terms 7h and h.

$\begin{array}{l} 7 h + (90 - h) = 210 \\ 7 h + 90 - h = 210 \\ 6 h + 90 = 210 \end{array}$

Step 2. Subtract 90.

To find the value of variable h in the equation $6 h + 90 = 210$ , subtract 90 from both sides of the equation.

$\begin{array}{l} 6 h + 90 - 90 = 210 - 90 \\ 6 h = 120 \end{array}$

Step 3. Divide by 6.

Divide both sides of the equation $6 h = 120$ by 6 and cancel the common factors of 6 on both sides.

$\begin{array}{l} \frac{6 h}{6} = \frac{120}{6} \\ h = \frac{20 \times 6}{6} \\ h = 20 \end{array}$

Step 4. Verify the value.

In order to verify the value of h, substitute 20 for h into the equation $7 h + (90 - h) = 210$ .

$\begin{array}{l} 7 \times 20 + (90 - 20) = 210 \\ 140 + 70 = 210 \\ 210 = 210 True \end{array}$

Hence, the value of the variable is $h = 20$ .

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Find the value of the variable.
$7 h + (90 - h) = 210$

Short Answer

Step by step solution

Step 1. Combine the like terms.

Step 2. Subtract 90.

Step 3. Divide by 6.

Step 4. Verify the value.

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Find the value of the variable.7h+90−h=210

Short Answer

Step by step solution

Step 1. Combine the like terms.

Step 2. Subtract 90.

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

Logic and Functions

Theoretical and Mathematical Physics

Mechanics Maths

Decision Maths

Geometry

Calculus

Study anywhere. Anytime. Across all devices.

Find the value of the variable.
$7 h + (90 - h) = 210$