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How Do You Solve an Equation Using Multiplication?

Solve for p

Summary

  1. 'Solve for p' means we want to get 'p' by itself on one side
  2. 'p' is a variable representing a number here
  3. Since 'p' is being divided by '5', we want to do the opposite operation in order to get 'p' alone
  4. The opposite operation to dividing by '5' is multiplying by '5'
  5. Note that both sides must be multiplied by '5'
  6. 125 = 60
  7. Plug in '60' for 'p' in our original equation to make sure it's correct

Notes

    1. 'Solve for p' means we want to get 'p' by itself on one side
    2. 'p' is a variable representing a number here
    1. Doing the opposite operation will cancel out the original operation and give us 'p' by itself
    2. 'p' is a variable representing a number here
    1. Doing the opposite operation will cancel out the original operation and give us 'p' by itself
    2. 'p' is a variable representing a number here
    1. We are multiplying by '5' to cancel out the division by '5' on the left side, but this must be done to both sides!
    1. We are multiplying by '5' to cancel out the division by '5' on the left side, but this must be done to both sides!
    1. 'p' is a variable representing a number here
    2. We are multiplying by '5' to cancel out the division by '5' on the left side so we can solve for 'p'
    1. Remember, we had to multiply the right side of the equation by '5', as well!
    2. 125 = 60
    1. p = 60
    2. 'p' is the variable we wanted to solve for
    1. Our answer was 'p=60'
    2. 'p' is the variable we wanted to solve for
    1. The original equation was 'p/5 = 12'
    2. 'p' is the variable we wanted to solve for
    1. 60/5 = 12
    2. Since the right side of the equation was already 12, we get 12 on both sides!
    1. '12=12' is a true statement, so we did everything correctly
    2. 'p' is the variable we wanted to solve for