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22 August, 02:06

Given the equation 3x - 4y = 8, which equation below would cause a consistent-dependent system?

3x + 4y = - 8

6x - 8y = 12

9x - 12y = 24

16x + 12y = - 10

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Answers (2)
  1. 22 August, 02:25
    0
    3x - 4y = 8

    y = mx + b; m is the slope; b is the y-intercept

    -4y = - 3x + 8

    y = - 3x/-4 + 8/-4

    y = 3/4 x - 2

    Need to check if the given choices have the same slope.

    3x + 4y = - 8

    4y = - 3x - 8

    y = - 3/4 x - 8/4 = - 3/4 x - 2

    6x - 8y = 12

    -8y = - 6x + 12

    y = - 6/-8 x + 12/-8

    y = 3/4 x - 1 1/2

    9x - 12y = 24 This equation would cause a consistent-dependent system

    -12y = - 9x + 24

    y = - 9/-12 x + 24/-12

    y = 3/4 x - 2

    16x + 12y = - 10

    12y = - 16x - 10

    y = - 16/12 x - 10/12

    y = - 1 1/3 x - 5/6
  2. 22 August, 02:30
    0
    9x - 12y = 24 is three times the given equation, therefore it will cause a consistent-dependent system with the given system.
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