Question

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 ^-^

Answer 1

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

A Division can be written as a fraction:

$\frac{a}{b}$

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:

$\frac{y}{3}=-9$

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:

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

The answers are:

a.

$\frac{y}{3}=-9$

b.

$y=-27$