Solving Equations by Multiplying or Dividing

multiplyanddivideinverseoperations

Multiplication and division are inverse operations.   If an equation contains multiplication, solve it by dividing both sides to undo the multiplication.   Similarly, if an equation contains division, solve it by multiplying both sides to undo the division.

Solving Multiplication Equations

To solve a multiplication equation, one must divide the same number from each side of the equation so that the variable will be by itself on one side of the equation and the answer on the other side.

Example:

multiplicationanswer

Solving Division Equations

To solve a division equation, one must multiply the same number on each side of the equation so that the variable will be by itself on one side of the equation and the answer on the other side.

Example:

divisionexample

 

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