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Chapter 1: Q34. (page 31)

Solve each equation. Check your solution

3x+5=11

Short Answer

Expert verified

The solutions of the equations is2 or-163

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

3x+5=113x=11鈭�5x=63=2

Case2- a=鈭�b

3x+5=鈭�113x=鈭�11鈭�5x=鈭�163

03

Step3- Check the solutions

Put the value of x=2 in the equation 3x+5=11

|3x+5|=|3脳2+5|=11

Put the value of x=-163 in equation 3x+5=11

|3x+5|=|3脳鈭�163+5|=|鈭�11|=11

The solution is 2 or -163. Hence, the solution set is 2,-163.

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