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Linear Equations

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Solve using the elimination method. If the system has no solution or an infinite number of solutions, state this.
-2x - 8y = 22
-6x - y = 20

  • Linear Equations -

    -2x - 8y = 22 ...(1)
    -6x - y = 20 ...(2)

    (2)-3(1)
    23y = -46
    y = -2 ...(3)

    substitute (3) in(2)
    -6x +2 = 20
    x=-3 ...(4)

    substitute (3) and (4) in (1)
    6 + 16 =22 = RHS

    So
    x=-3, y=-2

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