Prove that there is a value of `c(!=0)` for which the system `6x+3y=c-3` `12 x+c y=c` has infinitely many solutions. Find this value.

Explanation

For the system to have infinitely many solutions, lines must coincide each other


or,ratio of respective coefficients must be equal (x, y and constant coefficients)


so,`6/12​=3/c​=(c−3)/c`
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Equate first two equations


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