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30 November, 12:03

Which statement is true about the equations - 3x + 4y = 12 and x - y = 1?

The system of the equations has exactly one solution at (-8, 3).

The system of the equations has exactly one solution at (-4, 3).

The system of the equations has no solution; the two lines are parallel.

The system of the equations has an infinite number of solutions represented by either equation.

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  1. 30 November, 13:35
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    -3x + 4y = 12

    x - y = 1 ... x = y + 1

    -3 (y + 1) + 4y = 12

    -3y - 3 + 4y = 12

    -3y + 4y = 12 + 3

    y = 15

    x - y = 1

    x - 15 = 1

    x = 1 + 15

    x = 16

    one solution (16,15)
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