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

Question

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

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Amara 1 week 2021-09-12T05:19:26+00:00 1 Answer 0

Answers ( )

    0
    2021-09-12T05:21:23+00:00

    Answer:

    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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