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Solve each equation. Check your solution

y+9=21

Short Answer

Expert verified

The solutions of the equations are-30 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 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=b

y+9=21y=21−9=12

Case 2: a=-b

localid="1646755493379" y+9=−21y=−21−9=−30

03

Step3- Check the solutions

Put the value of y=12 in the equation y+9=21.

|y+9|=|12+9|=21

Put the value of y=-30 in equation y+9=21

|y+9|=|−30+9|=|−21|=21

The solution is -31 or 12.

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