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

Question

Dr. Abubacker · Accepted Answer

(a)
On solving $3x + 4y = 9$ and $y = mx + 1,\$ we get
$x = \frac{5}{3 + 4m}$
$\because x$ is an integer
$	herefore 3 + 4m = 1,\  - 1,\ 5,\  - 5$
$\Rightarrow m = \frac{- 2}{4},\frac{- 4}{4},\frac{2}{4},\frac{- 8}{4}$
So, $m$ has two integral values

Q. The number of integral values of $m$, for which the $x$-coordinate of the point of intersection of the lines $3x + 4y = 9$ and $y = mx + 1$ is also an integer, is

Explanation

Reviewed by Dr. Abubacker

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