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Chapter 1: Q. 10 (page 30)

Solve each equation. Check your solution

a-9=20

Short Answer

Expert verified

The solutions of the equations are -11 or 29.

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 x=y.
  • Secondly assume the case two in which the equation be x=-y.
  • 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

x=ya鈭�9=20a=20+9=29

Case2

x=鈭�ya鈭�9=鈭�20a=鈭�20+9=鈭�11
03

Step 3. Check the solutions

Put the value of a=29 in the equation a-9=20

a鈭�9=2029鈭�9=20

Put the value of a=-11 in the equation a-9=20

-11-9=-20=20

The solution is -11 or 29. Hence the solution set is (-11,29).

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