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Chapter 1: Q33. (page 31)

Solve each equation. Check your solution

8w-7=72

Short Answer

Expert verified

The solutions of the equations is 16 or -2

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

8w鈭�56=728w=72+56w=1288=16

Case2:a=鈭�b

8w鈭�56=鈭�728w=鈭�72+56w=鈭�168=鈭�2

03

Step3- Check the solutions

Put the value of w=2 in the equation 8w-7=72

8|w鈭�7|=8|鈭�2鈭�7|=8|鈭�9|=8脳9=72

Put the value of w=16 in equation 8w-7=72

8|16鈭�7|=8|9|=8脳9=72

The solution is 16 or -2.

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