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pre calculus

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Algebraically solve the system of equations using any method you wish
3x-10y+z=5
-4x+9y-z=-6
-13y+z=2

  • pre calculus -

    I would use substitution to start:
    from the 3rd: z = 13y + 2

    into the 1st:
    3x - 10y + 13y + 2 = 5
    3x + 3y = 3
    x+y=1

    into the 2nd:
    -4x + 9y - 13y - 2 = -6
    -4x - 4y = -4
    x + y = 1

    Ahhh,
    x+y = 1 and x+y = 1 don't have a real solution.
    So the system has no unique solution.

    check my arithmetic

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