Question

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

• A. $0$
• B. $2$
• C. $4$
• D. $1$

Answer 1

The correct option is B $2$

Given lines are,

$3x+4y=9$ ..... (i)
$y=mx+1$ ...... (ii)

Solving Eqs. (i) and (ii), we get
$x=\frac{5}{3+4m}$

If $m=-1$, then $x=-5$ and $m=-2$, then $x=-1$ are the only possibilities.