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Mathematics 16 Online
OpenStudy (whiskyryan):

Did I do this right?

OpenStudy (whiskyryan):

\[\frac{ x-\frac{ x }{ y }}{ y-\frac{ y }{ x }} =\frac{ \frac{ xy }{ y } -\frac{ x }{y} }{\frac{ yx }{x }-\frac{ y }{ x }}=\frac{ \frac{ xy-x }{ y } }{ \frac{ yx-x }{ y } }=\frac{ xy-x }{ y }*\frac{ x }{ yx-y }=\frac{ -xx }{-yy}\]

satellite73 (satellite73):

i think you got a typo

OpenStudy (whiskyryan):

where?

satellite73 (satellite73):

\[=\frac{ \frac{ xy-x }{ y } }{ \frac{ yx-x }{ y } }\]

OpenStudy (whiskyryan):

yep.... that bottom y is an x... the rest I transcriber right though

satellite73 (satellite73):

the denominator of the denominator should be \(x\) then there is a mistake on the next liine

OpenStudy (astrophysics):

Yeah nice catch sat \[\frac{ a }{ b } \pm \frac{ c }{ d } = \frac{ ad \pm bc }{ bd }\]

satellite73 (satellite73):

your life would be easier if, instead of doing all the work top and bottom, multiply all by \(xy\) top and bottom as a first step

satellite73 (satellite73):

it looks like you cancelled something at the last line, but nothing cancels there

satellite73 (satellite73):

\[\frac{ xy-x }{ y }*\frac{ x }{ yx-y }\neq\frac{ -xx }{-yy}\]

satellite73 (satellite73):

\[\frac{ x-\frac{ x }{ y }}{ y-\frac{ y }{ x }}\times \frac{xy}{xy}\] might be an easier way to go

OpenStudy (whiskyryan):

oh shoot.. so \[\frac{ xy-x ^{2} }{ y ^{2}x-m }\] for the answer? I did cancel everything out at the end

satellite73 (satellite73):

close

OpenStudy (whiskyryan):

ok... i didn't learn that way... how did you choose xy to multiply both by?

satellite73 (satellite73):

get rid of the pesky extra denominators

satellite73 (satellite73):

your way works as well, just don't cancel anything

OpenStudy (whiskyryan):

i see.. since x is the extra denominator on top multiply both sides by x and since y is the extra denominator on the bottom multiply both sides by y also?

satellite73 (satellite73):

\[\frac{ x^2y-x ^{2} }{ y ^{2}x-y^2}\] yeah right

OpenStudy (whiskyryan):

ok let me work it out again to see if i get what you did. 1 sec...

satellite73 (satellite73):

kk

OpenStudy (whiskyryan):

can you show me what you get after multiplying the original equation by xy/xy... I keep messing that part up I think

OpenStudy (whiskyryan):

Never mind I figured it out . Thanks!

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