1. Tardigrade
  2. Question
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  4. The number of integer 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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Q. The number of integer 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

WBJEEWBJEE 2012Straight Lines

Solution:

Given lines are, $3 x+4 y=9$ ...(i)
$y=m x+1$ ...(ii)
Solving Eqs. (i) and (ii), we get
$x=\frac{5}{3+4 m}$
If $m=-1$, then $x=-5$ and $m=-2$, then $x=-1$ are the only possibilities.