Solve the following set of equations using the Gaussian method.

2x + 6 y = 28 (1)
8 x + 2y = 2 (2)


Simplifying (1) and (2) yields:
x + 3 y = 14 (1)
4 x + 1y = 1 (2)

Multiply Eq.(1) by -4 and add to Eq. (2):
-4x -12 y = -56
4 x + y = 1
---------------------------
-11 y = -55 ? y = 5
Substitute y = 5 in Eq. (1), to solve for x:
x = 14 – 3(5) -- x = -1

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