SOLUTION: Solve the following two simultaneous equations using matrix method. {{{3(x) - (y) = (2)}}} {{{6(x) + (y) = (1)}}}

Algebra ->  Matrices-and-determiminant -> SOLUTION: Solve the following two simultaneous equations using matrix method. {{{3(x) - (y) = (2)}}} {{{6(x) + (y) = (1)}}}      Log On


   

Question 439446: Solve the following two simultaneous equations using matrix method.
3%28x%29+-+%28y%29+=+%282%29
6%28x%29+%2B+%28y%29+=+%281%29
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
|3 -1 -2|
|6 +1 -1|
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Det = 3*1 - 6(-1) = 9
x*Det = 1*1 - 1(-2) = 3 --> x = 1/3
-y*Det = 3*(-1) - 6(-2) = 9 --> y = -1
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x = 1/3, y = -1