Question

Find c if the system of equations , has infinitely many solutions.​

Answer 1

Given system of equations be cx+3y+(3−c)=0;  12x+cy−c=0

For the system of equations to have infinitely many solutions

a2a1=b2b1=c2c1

12c=c3=−c3−c

12c=c3andc3=−c3−c

⟹c2=36andc=6

⟹c=±6andc=6

Answer 2

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