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Chapter 1: Q. 11 (page 30)

Solve each equation. Check your solution

y-2=34

Short Answer

Expert verified

The solutions of the equations is 36 or -32

Step by step solution

01

Step 1. 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

Step 2. Solve the equations

Case1

y鈭�2=34y=34+2=36

Case2

y鈭�2=鈭�34y=鈭�34+2=鈭�32
03

Step 3. Check the solutions

Put the value of y=36in equation y-2=34.

y鈭�2=3436鈭�2=34

Put the value of y=-32in equation y-2=34.

y鈭�2=34鈭�32鈭�2=鈭�34=34

The solution is 36 or -32. Hence the solution set is (-32,36).

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