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27 December, 12:13

Two lines, A and B, are represented by the following equations: Line A: 4x + 4y = 16 Line B: x + y = 4 Which statement is true about the solution to the set of equations?

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  1. 27 December, 15:12
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    The set of equations has an infinite number of solutions

    Step-by-step explanation:

    The system of linear equations represented by the following equations:

    Line A: 4x + 4y = 16 and Line B: x + y = 4 are dependent.

    This is because both equations represent the same line;

    if we divide both sides of the equation of line A by 4, we would obtain

    x + y = 4, which is basically the equation of line B

    If a consistent system has an infinite number of solutions, it is dependent. When you graph the equations, both equations represent the same line.
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