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

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

Tardigrade Admin · Accepted Answer

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

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

0

2

4

1

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.

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

0

2

4

1

Given lines are, 3x+4y=9 ...(i) y=mx+1 ...(ii) Solving Eqs. (i) and (ii), we get x=3+4m5​ If m=−1, then x=−5 and m=−2, then x=−1 are the only possibilities.

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

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.