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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 – 5y = 61
7x – 5y = -9

  • Algebra - ,

    Eq1: -3X - 5Y = 61
    Eq2: 7X - 5Y = -9
    Multiply both sides of Eq1 by -1 and
    add the 2 Eqs:
    3X + 5Y = -61
    7X - 5Y = -9

    Sum: 10X = -70,
    X = -70 / 10 = -7.

    Substitute -7 for x in Eq2:
    7*-7 - 5Y = -9,
    -49 - 5Y = -9,
    -5Y = -9 + 49 = 40,
    Y = 40 / -5 = -8.

    Solution set = (-7, -8).

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