Gaussian Elimination Method

Write the system of equations as an augmented matrix. Then solve for x and y.

5x-4y=12
-5x+3y=9

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  1. +5 -4 12 divide by 5 to get 1
    -5 +3 +9

    +1 -4/5 12/5 multiply by 5 and add
    -5 +3.0 +9

    +1 -4/5 12/5
    +0 -1.0 21 multiply by -1

    +1 -4/5 12/5
    +0 +1.0 -21 so y = -21

    now multiply second eqn by 4/5 and add to first
    +1 -4/5 12/5
    +0 +4/5 -84/5

    +1 +0 -72/5
    +0 +1 -21

    x = -72/5, y = -21

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