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Solve each equation. Check your solution

2z-3=0

Short Answer

Expert verified

The solutions of the equations is32

Step by step solution

01

Step1- Order for solving the equation

To evaluate any equation involving more than one operation, follow the below order operation

  • First assume the case one in which the equation be a=b.
  • Secondly assume the case two in which the equation be a=-b.
  • Solve the equations of both the cases to find the value of algebraic expression
  • After finding the two values of algebraic expression, put the value in the original equation and check the solution
02

Step2- Solve the equations  

Case1- a=b

2z−3=02z=3+0z=32

Case2- a=−b

2z−3=−02z=3−0z=32

03

Step3- Check the solutions

Put the value of z=32in the equation 2z-3=0

|2z−3|=|232−3|=|3−3|=0

The solution is 32. Hence, the solution set is 32.

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