SOLUTION: find the valve of c for which the pair of equations Cx-y=2 and 6x-2y=3 will have infintely many solution.

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Question 974735: find the valve of c for which the pair of equations Cx-y=2 and 6x-2y=3 will have infintely many solution.

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
STICK TO ONE CASELEVEL OR THE OTHER!!

system%28k%28cx-y=2%29%2C6x-2y=3%29

system%28%283%2F2%29%28cx-y%29=%283%2F2%29%282%29%2C6x-2y=3%29

system%28%283c%2F2%29x-%283%2F2%29y=3%2C6x-2y=3%29

That seems not to work.

Try another way:

-y=-cx%2B2
y=cx-2

-2y=-6x%2B3
y=3x-3%2F2

What you ask is impossible. The two equations WILL NOT have infinitely many solutions. Either they intersect and have different slopes; or they are parallel having same slopes but different vertical axis intercepts.

answer: NO SOLUTION

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
find the valve of c for which the pair of equations Cx-y=2 and 6x-2y=3 will have infintely many solution.
For the equations to have infinitely many solutions, they have to be equal

Setting them equal to each other yields: highlight_green%28C+=+%283x+%2B+1%2F2%29%2Fx%29, or highlight_green%28C+=+3+%2B+1%2F%282x%29%29