Question

How do you solve `\frac { z + 1} { 5} = \frac { 2} { 3}`?

Answer 1

`z=7/3`

Explanation:

An easy method to solve an equation that consists of a fraction on each side of the equal sign is to cross multiply.
The denominator on one side is multiplied by the numerator on the other side, as follows:
`(z+1)/5=2/3`
`3(z+1)=5(2)`
Then multiplying the right side and distributing the 3 into the brackets,
`3z+3=10`
Subtracting 3 from both sides,
`3z=10-3`
`3z=7`
Then, dividing both sides by 3,
`z=7/3`