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Mathematics 13 Online
OpenStudy (anonymous):

simplify and state restrictions x-y/y-x

hero (hero):

Well, if you do this: \[\frac{x-y}{y-x} = \frac{-(y-x)}{y-x} = -\frac{y-x}{y-x}\] You might realize what it simplifies to at least.

hero (hero):

For restrictions, just ask yourself what would make the denominator equal zero. There's a value that x cannot equal and a value that y cannot equal.

OpenStudy (anonymous):

0?

hero (hero):

The denominator cannot equal zero. But what values of x and y would make the denominator zero? Also, did you figure out what the entire expression simplifes to?

OpenStudy (anonymous):

i don't know because if you divide y-x by y-x isn't it 0?

OpenStudy (anonymous):

or -1?

hero (hero):

\[\frac{\text{anything}}{\text{itself}}= 1\] Yes, it simplifies to -1

hero (hero):

What about the restrictions?

OpenStudy (anonymous):

(y-x)(y-x)=0 , y=x?

hero (hero):

When figuring out restrictions, you only need to pay attention to the original expression.

hero (hero):

\[y \ne x\] is one restriction though. There is another.

OpenStudy (anonymous):

x=y?

hero (hero):

Well, nevermind. That's the restriction. Good job.

OpenStudy (anonymous):

oh okay thanks!

hero (hero):

I usually write restrictions with the not equal sign. As it shows what it cannot equal.

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