# Systems of Equations : Solve using Augmented Matrix

Not what you're looking for? Search our solutions OR ask your own Custom question.

Solve the following system of equations by performing elementary row operations on the augmented matrix.

x1-2x2 +2x4 = 6

2x1-4x2+x3-x4 =-2

3x1+6x2-x3-x4=-4

x1-2x2+x3-3x4=-8

https://brainmass.com/math/matrices/systems-equations-solve-augmented-matrix-12628

#### Solution Preview

We perform row operations on the augmented matrix

1 -2 0 2 6

( 2 -4 1 -1 -2 )

3 6 1 -1 -4

1 -2 1 -3 -8

1 -2 0 2 6

( 0 0 1 -5 -14 ) [row2-2(row1)]

0 12 ...

#### Solution Summary

A system of equations is solved by performing elementary row operations on the augmented matrix.

$2.49