Question

Write the intergral values of m for which the x-coordinate of the point of intersection of the lines $y=mx+1$ and $3x+4y=9$ is an integer,

Answer 1

$y=mx+1$ ...(1)

$3x+4y=9$ ...(2)

equation (1) and (2)

$3x+4mx+4=9$

$(3+4m)x=5$

$x=\frac{5}{3+4m}$

It is an integral,so

If $m=-1,-2$