How can I solve this three variable equation with C#?

Question

My teacher asked me to create a program to solve something like:

2x plus 7y plus 2z = 76  
6x plus 1y plus 4z = 26  
8x plus 2y plus 18z = 1  

x = ?  
y = ?  
z = ?

Problem is, this is literally the first two days of class and he expects us to make something like this.

Any help?

Answer 1

Since this is homework, I'll provide guidance, but not a complete answer...

My suggestion: Write this out on paper. How would you approach this on paper? Once you figure out the basic logic required, translating that into C# should be fairly straightforward.

You'll need to assign a variable for each portion of the equation (not just x/y/z, but also the coefficients), and just step through it in code using the same steps you do on paper.

Answer 2

If you know some maths, you can solve systems of equations using a matrix library (or roll your own).