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Chapter 1: Q8. (page 30)

Solve each equation. Check your solution

x+4=7

Short Answer

Expert verified

The solutions of the equation x+4=7is3 or -11

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=bx+4=7x=7鈭�4x=3

Case-2

a=鈭�bx+4=鈭�7x=鈭�7鈭�4x=鈭�11

03

Step3- Check the solutions

Putting the values of x=3 in equation x+4=7

|3+4|=|7|=7

Putting the value of x=-11 in equation x+4=7

|鈭�11+4|=|鈭�7|=7

The solutions is3or-11 . Hence, the solution set is (3,-11).

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