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# If xy=z and (x+33)(y-29)=z, then what x and y?

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Intern
Joined: 29 Mar 2013
Posts: 3

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If xy=z and (x+33)(y-29)=z, then what x and y? [#permalink]

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29 Mar 2013, 22:46
The solution of the above escapes me, as I know the answer, but I would like to know howg to solve it.

Regards Jan

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Intern
Joined: 29 Mar 2013
Posts: 3

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

Re: If xy=z and (x+33)(y-29)=z, then what x and y? [#permalink]

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30 Mar 2013, 01:24
The 'z' is of no conseque, but there should be two solutions, one being x and y are two real numbers.

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Intern
Joined: 29 Mar 2013
Posts: 3

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Re: If xy=z and (x+33)(y-29)=z, then what x and y? [#permalink]

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30 Mar 2013, 04:21
Sorry for my ambiguity. Z is just the same product of these equations. I have been told, that there to solutions, one of which are two real numbers e.g 5 and 8.

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Manager
Status: Prevent and prepare. Not repent and repair!!
Joined: 13 Feb 2010
Posts: 248

Kudos [?]: 137 [0], given: 282

Location: India
Concentration: Technology, General Management
GPA: 3.75
WE: Sales (Telecommunications)
Re: If xy=z and (x+33)(y-29)=z, then what x and y? [#permalink]

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01 Apr 2013, 11:52
this is like bull in a china shop.. running everywhere? not gmat like!
_________________

I've failed over and over and over again in my life and that is why I succeed--Michael Jordan
Kudos drives a person to better himself every single time. So Pls give it generously
Wont give up till i hit a 700+

Kudos [?]: 137 [0], given: 282

Intern
Joined: 15 Jan 2013
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Kudos [?]: 31 [0], given: 6

Concentration: Finance, Operations
GPA: 4
Re: If xy=z and (x+33)(y-29)=z, then what x and y? [#permalink]

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02 Apr 2013, 05:18
jjwho wrote:
The solution of the above escapes me, as I know the answer, but I would like to know howg to solve it.

Regards Jan

$$xy = (x + 33)(y - 29)$$ = > $$33y - 29x = 29.33$$. It is a line and will have infinite solutions.

Kudos [?]: 31 [0], given: 6

Re: If xy=z and (x+33)(y-29)=z, then what x and y?   [#permalink] 02 Apr 2013, 05:18
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# If xy=z and (x+33)(y-29)=z, then what x and y?

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