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The quotient of two numbers is -1 their difference is 8 what are the numbers

User Ryan Olds
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Let the two numbers be represented with x and y.

Quotient of two numbers = -1:


(x)/(y)=-1\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\text{.}.(1)

Difference of two numbers = 8:


x\text{ - y = 8}\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots(2)

From the first equation, make x the the subject.

Thus, we have:

x = -y

Substitute -y for x in equation 2:

-y - y = 8

-2y = 8

Divide both sides by -2:


\begin{gathered} (-2y)/(-2)=(8)/(-2) \\ \\ y\text{ = -4} \end{gathered}

Now, substitute -4 for y in equation 2:

x - y = 8

x - (-4) = 8

x + 4 = 8

Subtract 4 from both sides:

x + 4 - 4 = 8 - 4

x = 4

Therefore,

x = 4 and y = -4

Thus, the numbers are 4 and -4

ANSWER:

4 and -4

User Setzamora
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