Partnership and Simultaneous equations: Difference between pages

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1. ''Law''. 
A set of related equations including two or more variables.


A partnership exists where two or more individuals enter into business together.


Governed in the UK by the Partnership Act 1890 and the Limited Liability Partnerships Act 2000.
'''Example'''


y = 3z ''and''


2.
z + y = 1


More broadly, any collaboration between different organisations or other entities.
 
'''Solution'''
 
If the number of equations is at least as many as the number of variables, the equations can be solved.
 
Rearranging the second equation:
 
z = 1 - y
 
Substituting into the first equation, for z:
 
y = 3 x ( 1 - y )
 
y = 3 - 3y
 
4y = 3
 
y = 0.75
 
 
z = 1 - 0.75
 
= 0.25
 
 
'''''Check'''''
 
y = 3z
 
= 3 x 0.25
 
= 0.75
 
OK.
 
 
z + y
 
= 0.25 + 0.75
 
= 1
 
OK too.




== See also ==
== See also ==
* [[Corporation]]
* [[Equation]]
* [[Drawings]]
* [[Firm]]
* [[General partner]]
* [[Limited liability partnership]]
* [[Limited partner]]
* [[Limited partnership]]
* [[LLC]]
* [[Public private partnership]]
* [[Trans-Pacific Partnership]]
* [[Unincorporated]]


[[Category:Compliance_and_audit]]
[[Category:Financial_management]]
[[Category:Knowledge_and_information_management]]

Latest revision as of 11:40, 13 May 2016

A set of related equations including two or more variables.


Example

y = 3z and

z + y = 1


Solution

If the number of equations is at least as many as the number of variables, the equations can be solved.

Rearranging the second equation:

z = 1 - y

Substituting into the first equation, for z:

y = 3 x ( 1 - y )

y = 3 - 3y

4y = 3

y = 0.75


z = 1 - 0.75

= 0.25


Check

y = 3z

= 3 x 0.25

= 0.75

OK.


z + y

= 0.25 + 0.75

= 1

OK too.


See also