Prove that there is a value of c (≠ 0) for which the system 6x +3y =c -3 ; 12x +cy =c

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asked Feb 6, 2018 in Mathematics by sforrest072 (157,439 points) 63 448 1260
edited Mar 5, 2018 by faiz

Prove that there is a value of c (≠  0) for which the system

6x +3y =c -3

12x +cy =c has infinitely many solutions. Find this value.

1 Answer

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answered Feb 6, 2018 by mdsamim (213,225 points) 5 10 21
selected Feb 6, 2018 by sforrest072
 
Best answer

The given system of equation may be written as

For infinitely many solutions, we must have

Hence, the given system of equations has infinitely many solutions, if c = 6.

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