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91Ó°ÊÓ

Solve each equation. Check your solution

b+15=3

Short Answer

Expert verified

The solutions of the equations is -18 or -12

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 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

Step2- Solve the equations

Case 1

x=yb+15=3b=−15+3=−12

Case2

x=−yb+15=−3b=−15−3=−18


03

Step3- Check the solutions

Put the value of b=-12 in equation

b+15=3

|−12+15|=|3|=3

Put the value of b=-18 in equation b+15=3

|−18+15|=|−3|=3

The solution is -18or-12.Hence the solution set is (-18,-12).

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