Simultaneous equation

[fanta2]

I have pairs of simultaneous equation like:

line 1: x2 + x6 = 8.20
line 2: x5 + x2 = 15.18
line 3: x3 + x1 = 12.32
line 4: x2 + x3 = 5.08
line 5: x4 + x1 = 32.34

I am given a value of x1 = 4.6 and I am expected to get the value of other x's. Of course, it is simple, I will get the value of x3 using line 3, I will get the value of x4 using line 5. Then I will use the value of x3 and line 4 to get the value of x2 and so on.

I have a vector containing the x's and a vector containing the constant values. How can this be done in fast way in Fortran for larger number of equations? I appreciate any idea.

 

[robinav]

The array elements should be in a matrix, not a vector.
The constants (right-hand sides) can remain in a vector.

 

[fanta2]

Thank you for your sugesstion. I have solved that problem using different approach ... from the functional relation of the matrix x - I am able to sequentially substitute the x's.