SOLUTION: what are the steps for using cramers rule?

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Question 12872: what are the steps for using cramers rule?
Answer by AdolphousC(70) About Me  (Show Source):
You can put this solution on YOUR website!
I hope you can follow this, but without a real problem, I am going to have to make one up.


Cramers rule uses comparison of matricies in order to solve the problem, so if you had a system of equations like this one

ax + by = c
dx + fy = g


You need to set up your 3 matricies first...
Matrix 1: " D matrix" +abs%28matrix%282%2C2%2C+a%2C+b%2C+d%2C+f%29%29+
Matrix 2: "Dx matrix" +abs%28matrix%282%2C2%2C+c%2C+g%2C+d%2C+f%29%29+
Matrix 3: "Dy matrix" +abs%28matrix%282%2C2%2C+a%2C+b%2C+c%2C+g%29%29+
Now here is how you find your X and Y Values


+X+=+Dx%2FD+ +Y+=+Dy%2FD+
Dx = the Determinant of your Dx Matrix
Dy = the Determinant of your Dy Matrix
D = the determinant of your D matrix


Subsitute your Determininant into your the formulas under "Here's how to find your X and Y Values" simplfy and reduce your factions