- #1

Naeem

- 194

- 0

2x + 4y - z = 2

x - y + 2z = 1

I need to find a third equation so that there is a unique solution for the unknows x , y and z, and find them.

Please help

Thanks,

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- Thread starter Naeem
- Start date

- #1

Naeem

- 194

- 0

2x + 4y - z = 2

x - y + 2z = 1

I need to find a third equation so that there is a unique solution for the unknows x , y and z, and find them.

Please help

Thanks,

- #2

LeonhardEuler

Gold Member

- 860

- 1

Just FYI, this belongs in the homework section, but anyway: all's you need to do is find an equation such that the vector whose entries are the coefficents of the x, y and z variables is not a linear combination of the two vectors obtained from the other two equations. Pretty much all you need to do is make a guess and check that it works. To make life easy you should probably pick an easy equation like x=something.Naeem said:

2x + 4y - z = 2

x - y + 2z = 1

I need to find a third equation so that there is a unique solution for the unknows x , y and z, and find them.

Please help

Thanks,

- #3

HallsofIvy

Science Advisor

Homework Helper

- 43,021

- 971

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