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Chapter 2: Q 2.10 (page 102)

Solve:121-54z-1=3(24+11z).

Short Answer

Expert verified

The solution isz=0.

Step by step solution

01

Step 1. Given information.

Solve the below linear equation,

121-54z-1=3(24+11z).

02

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

Combine like terms and simplify.

121-54z-1=3(24+11z)121-20z+5=72+33z12-240z+60=72+33z72-240z=72+33z72-240z-72=72+33z-72-240z=33z-240z-33z=33z-33z-240z=0z=0

03

Step 3. Check the solution.

Put z=0into the equation.

121-5(4z-1)=3(24+11z)121-5(4路0-1)=3(24+11路0)121+5=3(24)12路6=7272=72

Hence, the solution is correct.

04

Step 4. Conclusion.

The solution of the given linear equation isz=0.

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