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algebra

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Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
-3x + 6y = -3 / -6x + 4y = -10

  • algebra - ,

    Eq1: -3X + 6Y = -3

    Eq2: -6X + 4Y = -10

    Multiply Eq1 by -2 and add the Eqs:
    6X - 12Y = 6
    -6X + 4Y = -10
    Sum: -8Y = -4.
    Y = 1/2.

    Substitute 1/2 for Y IN Eq1
    -3X + 3 = -3,
    -3X = -6,
    X = 2.

    Solution Set = (2, 1/2).

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