SOLUTION: using cramers rule solve the following systems of linear equations a. x-2y+3z = -7 2y = 6 2x-z = 5 b. 3x - y + 2z = 13 -x + 4y + 2z= -1 4y

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Question 1123039: using cramers rule solve the following systems of linear equations
a. x-2y+3z = -7
2y = 6
2x-z = 5
b. 3x - y + 2z = 13
-x + 4y + 2z= -1
4y + 3z = 4

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
a.



Your matrix:


Write down the main matrix and find its determinant:

Δ =

Replace the 1st column of the main matrix with the solution vector and find its determinant:



Δ
Replace the 2nd column of the main matrix with the solution vector and find its determinant:



Δ


Replace the 3rd column of the main matrix with the solution vector and find its determinant:


Δ

= Δ /Δ =
= Δ /Δ =
= Δ/Δ =

Solution set:





b.




Your matrix


Write down the main matrix and find its determinant:




Δ =

Replace the 1st column of the main matrix with the solution vector and find its determinant:



Δ

Replace the 2nd column of the main matrix with the solution vector and find its determinant:


Δ

Replace the 3rd column of the main matrix with the solution vector and find its determinant:



Δ


= Δ / Δ =
= Δ / Δ =
= Δ / Δ =


Solution set:






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