SOLUTION: For the linear system 2x+3y=12 and 4x+6y=c, what value(s) of C will give the system a) an infinite number of solution b) no solution?

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Question 1106482: For the linear system 2x+3y=12 and 4x+6y=c, what value(s) of C will give the system a) an infinite number of solution b) no solution?
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
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2x+3y=12 and 4x+6y=c
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Both of the equations have slope -2%2F3. Either these lines are parallel, OR they are the same one line.

The system has NO solution for c%3C%3E24.

The system has infinite solutions (points on a line) for c=24.