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Solve each system using Gaussian elimination. State whether each system is independent, dependent, or inconsistent.

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x - y = 2
3x - y =12
asked Mar 18, 2014 in ALGEBRA 2 by angel12 Scholar

1 Answer

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Gaussian Elimination method :

The linear equations are x  - y = 2 and 3x  - y = 12 .

Write the equations into matrix form AX = D .

is coefficient matrix , is variable matrix and is Constant matrix.

image

The augmented matrix is [AD ]

image

Here image represents first row and image represents second row.

image

image

image

image

image

The solution is image.

The system of equation has exactly one solution, so the system is consistent and independent.

answered Sep 4, 2014 by david Expert

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