# Video: Creating Linear Equations with One Variable

Let π represent an unknown number. Write an equation that represents the statement βSixteen more than two-thirds of an unknown number is thirty-six.β

02:05

### Video Transcript

Let π represent an unknown number. Write an equation that represents the statement β16 more than two-thirds of an unknown number is 36.β

The unknown number in this question is represented by π, and we want two-thirds of this number. This can be written as two-thirds multiplied by π or two-thirds π. As we want 16 more than this, we need to add 16. This gives us two-thirds π plus 16. Weβre told this is equal to 36, so two-thirds π plus 16 is equal to 36. This is the equation that represents the given statement.

Whilst we donβt need to in this question, we could then solve the equation to calculate the value of π. This could be done using the balancing method and inverse operations. We could firstly subtract 16 from both sides of the equation. This would give us two-thirds of π is equal to 20 as 36 minus 16 is 20. Finally, we could divide both sides of the equation by two-thirds.

The left-hand side would become π as two-thirds π divided by two-thirds is π. Dividing by a fraction is the same as multiplying by the reciprocal of the fraction. This means that 20 divided by two-thirds is the same as 20 multiplied by three-halves or three over two. 20 multiplied by three is 60 and dividing this by two gives us 30. The value of π that satisfies the equation is 30.