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# confusing algebra problem. someone help me understand the

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Intern
Joined: 20 Jun 2007
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confusing algebra problem. someone help me understand the [#permalink]  21 Sep 2007, 13:46
Can someone help me figure this out? I got confused on couple of steps..

x=(yz)/x+1/y
we are asked to find Z

here is the solution where i got confused

x-1/y=yz/x

x^2-x/y^2=z ( i got lost here. it looks like we multiplied by x to get rid of denominator but where did we get y^2 from?

x^2 y/y^2 - x/y^2=z ( again i got lost here)

z= x(xy-1)/y^2

can someone help me understand this little bit better. I would really appreciate it

thanks

danny
Director
Joined: 22 Aug 2007
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Re: confusing algebra problem. someone help me understand th [#permalink]  21 Sep 2007, 14:35
dzelkas wrote:
Can someone help me figure this out? I got confused on couple of steps..

x=(yz)/x+1/y
we are asked to find Z

here is the solution where i got confused

x-1/y=yz/x

x^2-x/y^2=z ( i got lost here. it looks like we multiplied by x to get rid of denominator but where did we get y^2 from?

x^2 y/y^2 - x/y^2=z ( again i got lost here)

z= x(xy-1)/y^2

can someone help me understand this little bit better. I would really appreciate it

thanks

danny

1) x-1/y=yz/x
2) get rid of x------->X^2-X/Y=YZ
3) get rid of y------->X^2.Y-X=Y^2.Z
4) devide both sides by Y^2------> (X^2.Y-X)/Y^2=Z
5) take X out of paranthesis-------> X(XY-1)/Y^2=Z, thus z= x(xy-1)/y^2
VP
Joined: 09 Jul 2007
Posts: 1108
Location: London
Followers: 6

Kudos [?]: 73 [0], given: 0

Re: confusing algebra problem. someone help me understand th [#permalink]  21 Sep 2007, 14:47
dzelkas wrote:
Can someone help me figure this out? I got confused on couple of steps..

x=(yz)/x+1/y
we are asked to find Z

here is the solution where i got confused

x-1/y=yz/x

x^2-x/y^2=z ( i got lost here. it looks like we multiplied by x to get rid of denominator but where did we get y^2 from?

x^2 y/y^2 - x/y^2=z ( again i got lost here)

z= x(xy-1)/y^2

can someone help me understand this little bit better. I would really appreciate it

thanks

danny

lol : I think u got that in bolded equation, but the answer choices might require u to further simplify ur answer, it is better to post choices.
VP
Joined: 09 Jul 2007
Posts: 1108
Location: London
Followers: 6

Kudos [?]: 73 [0], given: 0

Lol,
sorry did not notice that u posted the explanation, i thought u had been doing the steps urself.

for detailed exp. refer to Irina's post
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