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Solve the system using an augmented matrix.

-x-3y=-17
2x-6y=-26

Can someone please explain what I am supposed to do in this problem?

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  1. -1 -3 | -17
    2 -6 | -26

    add 2x#1 to #2:

    -1 -3 | -17
    0 -12 | -60

    subtract #2 from 4x#1:

    -4 0 | -8
    0 -12 | -60

    Now divide so the diagonal is all 1's:

    1 0 | 2
    0 1 | 5

    x=2, y=5

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