# solving system of equations

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• Mar 21st 2012, 12:16 AM
Mhmh96
solving system of equations
‎6x+5y=150
3x+2z=350

How can i find x,y,z from just two equations?
• Mar 21st 2012, 12:33 AM
princeps
Re: solving system of equations
Quote:

Originally Posted by Mhmh96
‎6x+5y=150
3x+2z=350

How can i find x,y,z from just two equations?

This system is undetermined . Solution is given by :

$\displaystyle (x,y,z)=\left(x,\frac{150-6x}{5},\frac{350-3x}{2}\right)$
• Mar 21st 2012, 12:44 AM
Mhmh96
Re: solving system of equations
What if i want to compare 5y and 2z?
• Mar 21st 2012, 01:03 AM
princeps
Re: solving system of equations
Quote:

Originally Posted by Mhmh96
What if i want to compare 5y and 2z?

Then you should compare :

$\displaystyle (150-6x)~\text{and}~(350-3x)$
• Mar 21st 2012, 01:08 AM
Mhmh96
Re: solving system of equations
But how if i dont know the value of x?
• Mar 21st 2012, 02:05 AM
princeps
Re: solving system of equations
Quote:

Originally Posted by Mhmh96
But how if i dont know the value of x?

You can compare them only if you know value of x .