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The number of integral values of m for w...

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=m x+1` is also an integer is

A

2

B

0

C

4

D

1

Text Solution

Verified by Experts

The correct Answer is:
A
`"Solving "3x+4y=9, y=mx+1, "we get" `
`x=(5)/(3+4m)`
Here, 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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