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20 July, 19:37

4. The system of equations 3x - 6y = 20 and 2x - 4y = 3 is

A. dependent.

B. independent.

C. consistent.

D. inconsistent.

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Answers (1)
  1. 20 July, 19:51
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    3x - 6y = 20

    -6y = - 3x + 20

    y = 1/2x - 20/6 ... slope = 1/2 ... y int = - 20/6 = - 10/3

    2x - 4y = 3

    -4y = - 2x + 3

    y = 1/2x - 3/4 ... slope = 1/2 ... y int = - 3/4

    same slope, different y int = parallel lines = no solution = inconsistent
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