Chapter 1: Q36 (page 10)

Find the value of the variable.
$7 y = 180 - 2 z$

Short Answer

Expert verified

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

Step by step solution

Step 1. Add 2z.

First add 2z to both sides of the equation $7 y = 180 - 2 z$ .

$7 y + (2 z) = 180 - 2 z + (2 z)$

Step 2. Combine the like terms.

To further simplify open the brackets and combine the like terms.

$\begin{array}{l} 7 y + 2 z = 180 - 2 z + 2 z \\ 9 y = 180 \end{array}$

Step 3. Divide by 9.

Divide both sides of the equation $9 y = 180$ by 9 and cancel the common factors of 9 on both sides.

$\begin{array}{l} \frac{9 y}{9} = \frac{180}{9} \\ y = \frac{9 \times 20}{9} \\ y = 20 \end{array}$

Step 4. Verify the value.

In order to verify the value of y, substitute 20 for y into the equation $7 y = 180 - 2 z$ .

$\begin{array}{l} 7 \times 20 = 180 - 2 \times 20 \\ 140 = 180 - 40 \\ 140 = 140 True \end{array}$

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

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Find the value of the variable.
$7 y = 180 - 2 z$

Short Answer

Step by step solution

Step 1. Add 2z.

Step 2. Combine the like terms.

Step 3. Divide by 9.

Step 4. Verify the value.

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Find the value of the variable.7y=180−2z

Short Answer

Step by step solution

Step 1. Add 2z.

Step 2. Combine the like terms.

Step 3. Divide by 9.

Step 4. Verify the value.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Logic and Functions

Discrete Mathematics

Mechanics Maths

Geometry

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Find the value of the variable.
$7 y = 180 - 2 z$