Question

How do you solve `\frac { z } { 2} - 1= 1`?

Answer 1

`z=4`

Explanation:

When solving equations with fractions we can 'eliminate' the fraction by `color(blue)"multiplying all terms on both sides of the equation"` by the denominator of the fraction.

multiply both sides by 2

`cancel(2)^1xxz/cancel(2)^1-(2xx1)=(2xx1)`

`rArrz-2=2`

To solve for z, add 2 to both sides.

`zcancel(-2)cancel(+2)=2+2`

`rArrz=4" is the solution"`

`color(blue)"NOTE"`

When we perform an operation on one side of an equation we must also perform the same operation to the other side.