SOLUTION: solve each system of linear equations with 3 variables and write the answers as an ordered triple, (x,y,z). SHOW HOW PLEASE. 3x+2y+4z=9 2x-2y+z=1 -x+3x-z=1

Question 1074634: solve each system of linear equations with 3 variables and write the answers as an ordered triple, (x,y,z). SHOW HOW PLEASE.
3x+2y+4z=9
2x-2y+z=1
-x+3x-z=1
Found 2 solutions by Fombitz, ikleyn:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Use Cramer's rule,

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So,

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Answer by ikleyn(52797)   (Show Source): You can put this solution on YOUR website!
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On the Cramer's rule for solving systems of 3 equations in 3 unknowns see the lesson
    - HOW TO solve system of linear equations in three unknowns using determinant (Cramer's rule)
    - Solving systems of linear equations in three unknowns using determinant (Cramer's rule)
in this site.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic
     "3x3-Matrices, determinants, Cramer's rule for systems in three unknowns"

In addition, there are many free of charge SOLVERS on a Cramer's rule in the internet.

One of such popular solvers is in this site under the link
https://www.algebra.com/algebra/homework/Matrices-and-determiminant/cramers-rule-3x3.solver

https://www.algebra.com/algebra/homework/Matrices-and-determiminant/cramers-rule-3x3.solver

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