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

Options

A. 2
B. 0
C. 4
D. 1

Answer

A

Explanation

`"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.