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11 November, 12:48

Determine if the ordered pair (8,-3) is a solution to the linear system.

7x+4y=44

3x-y=27

A) yes

B) no, the proposed solution does not result in an equality in one of the two questions

C) no, the proposed solution does not result in an equality for both equations.

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Answers (1)
  1. 11 November, 13:13
    0
    Plug in 8 for x and - 3 for y in both equations, and see if it makes the equations true.

    First equation:

    7x + 4y = 44

    7 (8) + 4 (-3) = 44

    56 - 12 = 44

    44 = 44

    The ordered pair works in the first equation.

    Second equation:

    3x - y = 27

    3 (8) - (-3) = 27

    24 + 3 = 27

    27 = 27

    The ordered pair works in the second equation too.

    Since the ordered pair satisfies both equations, the ordered pair is a solution to the system of equations.

    Answer is A)
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