Solve the following system of equations.

Does this system has a unique solution or infinitely many solutions? Justify your answer.

please explain to me how to do it, thank you!

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- Sep 20th 2009, 08:25 PMquah13579system of equations problem
Solve the following system of equations.

Does this system has a unique solution or infinitely many solutions? Justify your answer.

please explain to me how to do it, thank you! - Sep 20th 2009, 09:26 PMBruno J.
This is a very standard problem. Do you have a textbook? It should have examples...

I'd be surprised if you were asked to solve this without first being given the proper tools. - Sep 20th 2009, 10:03 PMProve It
- Sep 20th 2009, 10:30 PMquah13579
- Sep 20th 2009, 11:51 PMmr fantastic
- Sep 21st 2009, 12:26 AMquah13579
- Sep 21st 2009, 06:36 PMmpl06c
it should be unique

since there are more equations then unknowns, correct? - Sep 21st 2009, 06:46 PMmr fantastic
Incorrect.

In the case of the question posted, there is a unique solution. However, when there are more equations then unknowns it is still possible for equations to be:

1. Inconsistent (in which case there is no solution). eg. x + y = 3, 2x + 2y = -1, x - y = 2 (three equations, two unknowns, no solution)

2. Redundant (in which case there may be infinite solutions). eg. x + y = 3, 2x + 2y = 6, -x - y = -3 (three equations, two unknowns, infinite solutions). - Sep 21st 2009, 07:05 PMmpl06c
oh ok... so in order to tell if it was uniqiue one would have to do RREF, correct?