SOLUTION: Solve using matrices. x � 3y + z = 10 x + y � 3z = -10 -3x � y + z = 2

Question 1067210: Solve using matrices.
x � 3y + z = 10
x + y � 3z = -10
-3x � y + z = 2
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve using matrices.
x � 3y + z = 10
x + y � 3z = -10
-3x � y + z = 2
====================
It is a matrix. Matrix is not a method.
You can use determinants, or Gauss-Jordan, for example.
----

| 1  -3   1   10|
| 1   1  -3  -10|
|-3  -1   1    2|

Using Determinants:
--
Det = 1*(1-3) -(-3)*(1-9) + 1*(-1+3) = -2-24+2 = -24
---
x*Det = -3*(-6+10) - 1*(2-10) + 10*(1-3) = -12+8-20 = -24 --> x = 1
-y*Det = 1*(-6+10) - 1*(2-30) + 10*(1-9) = 4+28-80 = -48 --> y = -2
z*det = 1*(2-10) - (-3)*(2-30) + 10*(-1+3) = -8-84+20 = -72 --> z = 3
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