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Find the value (s) of for which the system of equations below has infinitely many solutions....

Find the value (s) of for which the system of equations below has infinitely many solutions. ( a-3)x+y=0 x+( a-3 ) y=0

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Answer #1

Two equation ax+by=0 and cx+dy=0 has infinitely many solution only if a/c=b/d=some constant.

For this given problem after simplifying, from (1) & (2) we see that both has x coefficient 1 and so ratio of y coefficient of (1) & (2) must be 1 , so they are equal. Using this concept i found the values of a for this given problem.

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