solving system of equations

**Mhmh96** · March 21st 2012, 12:16 AM

‎6x+5y=150
3x+2z=350

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

**princeps** · March 21st 2012, 12:33 AM

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 :

$(x,y,z)=\left(x,\frac{150-6x}{5},\frac{350-3x}{2}\right)$

**Mhmh96** · March 21st 2012, 12:44 AM

What if i want to compare 5y and 2z?

**princeps** · March 21st 2012, 01:03 AM

Originally Posted by Mhmh96

What if i want to compare 5y and 2z?

Then you should compare :

$(150-6x)~\text{and}~(350-3x)$

**Mhmh96** · March 21st 2012, 01:08 AM

But how if i dont know the value of x?

**princeps** · March 21st 2012, 02:05 AM

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 .

Thread: solving system of equations