### Solving Equations − Multiplication and Division 1

Solving equations involves finding the value of an unknown variable. This is done by inversing − a process that reverses the equation. Let us take a look

The inverse of multiplication is division and the inverse of division is multiplication

#### Example 1. 6 c = 30 What is the value of c?

#### Example 2.

^{y}/_{4}= 5 What is the value of y?

The inverse of × 6 is ÷ 6. So divide both sides by 6

6 | c | = | 30 | ||

÷ | 6 | = | ÷ | 6 |

c | = | 5 |

To verify, put the value of c = 5 back into the original equation

6 x 5 = 30

The inverse of ÷ 4 is × 4. So multiply both sides by 4

^{y}/_{4} | = | 5 | ||

× | 4 | = | × | 4 |

y | = | 20 |

To check, put the value of y = 20 back into the original equation

20 ÷ 4 = 5

#### Remember: 'what is the value of y' is the same as 'solve y'

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