Algebra I / Linear Equations and Graphs

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n=9

Explanation:

First, let's give a name to the number we are looking for and call it n.

So we can then write "A number is divided by 3" as n3

To add 5 to the quotient would then give us the expression n3+5

If this results in 8 we can finally write the equation we are trying to solve and solve the equation for n while keeping the equation balanced:

n3+5=8

n3+5−5=8−5

n3+0=3

n3=3

3⋅n3=3⋅3

1n=9

n=9