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Chapter 1: Q39 (page 10)

Find the value of the variable.

7h+90鈭�h=210

Short Answer

Expert verified

The value of the variable is h=20.

Step by step solution

01

Step 1. Combine the like terms.

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

7h+90鈭�h=2107h+90鈭�h=2106h+90=210

02

Step 2. Subtract 90.

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

6h+90鈭�90=210鈭�906h=120

03

Step 3. Divide by 6.

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

6h6=1206h=20脳66h=20

04

Step 4. Verify the value.

In order to verify the value of h, substitute 20 for h into the equation 7h+90鈭�h=210.

7脳20+90鈭�20=210140+70=210210=210True

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

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