Linear equations 6x−4y=11 & 2x+3y=-3. find matrices that represents the augmented matrix of linear systems?

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  • The matrix uses just the coefficients, no variables.

    6 -4 11
    2 3 -3

    To solve get a 0 where the 2 currently is by doing 3R2 -R1 –> R2

    6 -4 11
    0 13 -20

    Then get a 0 where -4 is currently: 13R1 + 4R2 –> R1

    78 0 63
    0 13 -20

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    are x = 63/78 = 21/26 and y = -20/13
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