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Chapter 1: Q. 12 (page 30)

Solve each equation. Check your solution

2w+3+6=2

Short Answer

Expert verified

The solutions of the equations is36 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 equation

Case1

a=b2w+3+6=22w=鈭�9+2=鈭�7w=鈭�72

Case2

a=鈭�b2w+3+6=鈭�22w=鈭�9鈭�2=鈭�11w=鈭�鈭�112

03

Step 3. Check the solutions

Put the value of w=-72 in equation2w+3+6=2.

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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