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Chapter 1: Q38 (page 10)

Find the value of the variable.

4c+23=9c鈭�7

Short Answer

Expert verified

The value of the variable is c=6.

Step by step solution

01

Step 1. Subtract 4c.

First subtract 4c from both sides of the equation 4c+23=9c鈭�7.

4c+23鈭�4c=9c鈭�7鈭�4c

02

Step 2. Combine the like terms.

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

4c鈭�4c+23=9c鈭�4c鈭�723=5c鈭�7

03

Step 3. Add 7.

To further simplify, add 7 to both sides of the equation 23=5c鈭�7.

23+7=5c鈭�7+730=5c

04

Step 4. Divide by 5.

Divide both sides of the equation 30=5cby 5 and cancel the common factors of 5 on both sides.

305=5c55脳65=c6=c

05

Step 5. Verify the value.

In order to verify the value of c, substitute 6 for c into the equation 4c+23=9c鈭�7and simplify.

4脳6+23=9脳6鈭�724+23=54鈭�747=47True

Hence, the value of the variable is c=6.

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