kenzie14016 kenzie14016

13-12-2017
Mathematics

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When solving a system of linear equations algebraically, how do you know when the system has no solution? Infinitely many solutions?

Respuesta :

13-12-2017

You know that the system of equations has no solution because you get something funky when trying to solve for x like:
[tex]7 = 25[/tex]
This happens because the system dont intersect.
Now there are infinite number of solutions when its the same equation (it may look different because it was multiplied by a scalar).
But in general, you will get something like
[tex]7 = 7[/tex]
If you have any questions feel free to ask!

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