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Chapter 2: Q 2.8 (page 102)

Solve:8(q+1)-5=3(2q-4)-1.

Short Answer

Expert verified

The solution isq=-8.

Step by step solution

01

Step 1. Given information.

Solve the below linear equation,

8(q+1)-5=3(2q-4)-1.

02

Step 2. Use the Distributive Property to remove any parentheses. 

Combine like terms and simplify.

8(q+1)-5=3(2q-4)-18路q+8路1-5=3路2q-3路4-18q+8-5=6q-12-18q+3=6q-138q+3-6q=6q-13-6q2q+3=-132q+3-3=-13-32q=-162q2=-162q=-8

03

Step 3. Check the solution.

Put q=-8into the equation.

8(q+1)-5=3(2q-4)-18(-8+1)-5=3(2路(-8)-4)-18(-7)-5=3(-16-4)-1-56-5=3(-20)-1-61=-60-1-61=-61

Hence, the solution is correct.

04

Step 4. Conclusion.

The solution of the given linear equation isq=-8.

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