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18 January, 20:39

Which statements are true about the ordered pair (10, 5) and the system of equations? {2x-5y=-5 x+2y=11 Select each correct answer. The ordered pair (10, 5) is a solution to the first equation because it makes the first equation true. The ordered pair (10, 5) is a solution to the second equation because it makes the second equation true. The ordered pair (10, 5) is not a solution to the system because it makes at least one of the equations false. The ordered pair (10, 5) is a solution to the system because it makes both equations true.

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  1. 18 January, 23:49
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    The ordered pair (10, 5) is not a solution to the system because it makes at least one of the equations false.

    Step-by-step explanation:

    2x-5y=-5

    x+2y=11

    In equation (1), substitution of (10,5)

    2x-5y=2 (10) - 5 (5) = 20-25=-5

    However in equation (2), on substitution of (10,5)

    x+2y=10+2 (5) = 10+10=20 ≠11.

    However, the solutions of the simultaneous equations

    2x-5y=-5

    x+2y=11

    are (5,3)
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