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

1 Answer
Mar 2, 2018

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