Arturo O. answered • 04/22/18

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Ben F.

asked • 04/22/18I used substitution method and got one answer then used matrix method and got a completely different answer

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Arturo O. answered • 04/22/18

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Thomas R. answered • 04/22/18

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You actually have two questions. First, the choice of method should not create different answers. This indicates you made a mistake somewhere. Matrices are great for creating errors, so I wouldn't be surprised if it was responsible.

Secondly, you asked if every linear system can be solved by a matrix. No. Some systems have no solutions. If true, you would find substitution produces a contradiction, such as " 0 = 17". Likewise, the matrices would produce an error as well.

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