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Chapter 1: Q36 (page 10)

Find the value of the variable.

7y=180鈭�2z

Short Answer

Expert verified

The value of the variable is z=20.

Step by step solution

01

Step 1. Add 2z.

First add 2z to both sides of the equation 7y=180鈭�2z.

7y+2z=180鈭�2z+2z

02

Step 2. Combine the like terms.

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

7y+2z=180鈭�2z+2z9y=180

03

Step 3. Divide by 9.

Divide both sides of the equation9y=180 by 9 and cancel the common factors of 9 on both sides.

9y9=1809y=9脳209y=20

04

Step 4. Verify the value.

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

7脳20=180鈭�2脳20140=180鈭�40140=140True

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

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