Solve the following set of equations using the Gaussian method.
-6 x1 + 9 x2 = 15 (1)
x1 + x2 = 10 (2)
-6 x1 + 9 x2 = 15 (1)
x1 + x2 = 10 (2)
SOLUTION
Simplifying equations (1) and (2) yields:
-2 x1 + 3 x2 = 5 (1)
x1 + x2 = 10 (2)
Divide Eq.(1) by 2 and add to Eq. (2):
-x1 + 3/2 x2 = 5/2
x1 + x2 = 10
---------------------------
5/2 x2 = 25/2 -- x2 = 5
Substitute x2 = 5 in Eq. (2), to solve for x:
x1 = 10 – 5 -- x1 = 5
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