SOLUTION: Use Cramer's Rule to solve the following: 4X1+X2-X3=-2 5X1+X2+2X3=4 6X1+X2+X3=6

Algebra ->  Matrices-and-determiminant -> SOLUTION: Use Cramer's Rule to solve the following: 4X1+X2-X3=-2 5X1+X2+2X3=4 6X1+X2+X3=6      Log On


   



Question 1122702: Use Cramer's Rule to solve the following:
4X1+X2-X3=-2
5X1+X2+2X3=4
6X1+X2+X3=6

Answer by ikleyn(52812) About Me  (Show Source):
You can put this solution on YOUR website!
.
It depends on what is your goal in making this exercise. 


If your goal is to learn the method, then do it on your own, by consulting with your textbook.


If your goal is simply to get the answer and avoid calculation routine, then
you may use the online free of charge solver


https://matrix.reshish.com/cramer.php 



Input the augmented matrix and press the "Solve" button.


Do you still have questions ?


Is there something that you do not understand ?

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On the Cramer's method, see the lessons
    - Determinant of a 3x3 matrix
    - Co-factoring the determinant of a 3x3 matrix
    - 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)
    - Solving word problems by reducing to systems of linear equations in three unknowns
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"


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.


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