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Chapter 1: Q29. (page 31)

Solve each equation. Check your solution

x-25=17

Short Answer

Expert verified

The solutions of the equations is42 or 8

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  

Case 1 : a=b

x鈭�25=17x=25+17x=42

Case 2 : a=-b

x鈭�25=鈭�17x=25鈭�17x=8

03

Step3- Check the solutions

Put the value of x=8 in the equation x-25=17.

|x鈭�25|=|8鈭�25|=|鈭�17|=17

Put the value of x=42 in equation x-25=17.

|x鈭�25|=|42鈭�25|=|17|=17

The solution is 42 or 8. Hence, the solution set is (42,8).


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