The number of integral values of m for which the x-coordinate of the point of intersection of the lines 3x+4y=9 and y=mx+1 is also an integer is

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answer is A.

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Detailed Solution

Solving 3x+4y=9, y=mx+1, we get x=53+4mHere, x is an integer if 3+4m=1, −1,5,−5. Hence, m=−2/4−4/4,2/4,−8/4, so, m has two integral values.

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