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35 votes
35 votes
The quotient of y and three is negative nine. how do I write a equation for this sentence and how do I solve it show the work please ^-^

User Misun
by
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1 Answer

20 votes
20 votes

a. By definition, the Quotient is the result of a Division.

A Division can be written as a fraction:


(a)/(b)

Where "a" is the numerator and "b" is the denominator.

You also need to remember that word "is" indicates that you must use:


=

Knowing the explained above, you can set up the following equation using the information given in the exercise:


(y)/(3)=-9

b. You need to solve for "y" in order to find its value. You can apply the Multiplication property of equality by multiplying both sides of the equation by 3. Then:


\begin{gathered} ((y)/(3))(3)=(-9)(3) \\ \\ y=-27 \end{gathered}

The answers are:

a.


(y)/(3)=-9

b.


y=-27

User Rodrigo Strauss
by
2.5k points