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Chapter 1: Q37 (page 10)

Find the value of the variable.

12+3b=2+5b

Short Answer

Expert verified

The value of the variable is b=5.

Step by step solution

01

Step 1. Subtract 3b.

First subtract 3b from both sides of the equation 12+3b=2+5b.

12+3b鈭�3b=2+5b鈭�3b

02

Step 2. Combine the like terms.

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

12+3b鈭�3b=2+5b鈭�3b12=2+2b

03

Step 3. Subtract 2.

To further simplify, subtract 2 from both sides of the equation 12=2+2b.

12鈭�2=2+2b鈭�210=2b

04

Step 4. Divide by 2.

Divide both sides of the equation 10=2bby 2 and cancel the common factors of 2 on both sides.

102=2b25脳22=b5=b

05

Step 5. Verify the value.

In order to verify the value of b, substitute 5 for b into the equation12+3b=2+5band simplify.

12+3脳5=2+5脳512+15=2+2527=27True

Hence, the value of the variable is b=5.

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