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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.
10x - y = 12.5
3x + y = 7

  • Linear Equations -

    Eq1: 10X - Y = 12.5.
    Eq2: 3X + Y = 7.
    Add the 2 Eqs and get:
    13X + 0 = 19.5.
    X = 1.5.

    In Eq1, substitute 1.5 for X:
    10*1.5 - Y = 12.5,
    15 - Y = 12.5,
    Y = 2.5.

    Solution set: (X,Y) = (1.5,2.5).

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