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16 August, 05:20

7x+11y = 5

14x+cy = 8

If c is a constant, for what values of c will there be no solution (x, y) to the system of equation

A. 5

B. 7

C. 18

D. 22

+4
Answers (1)
  1. 16 August, 05:35
    0
    D: 22

    Step-by-step explanation:

    There will be no solution if the two lines are parallel. The given lines

    7x+11y = 5

    14x+cy = 8

    will be parallel if c = 22, because then the 2nd equation is just a constant multiple of the first. Answer D is the correct one.
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