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The number of integral values of m for w...

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=m x+1` is also an integer is 2 (b) 0 (c) 4 (d) 1

A

2

B

0

C

4

D

1

Text Solution

AI Generated Solution

To find 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, we can follow these steps: ### Step 1: Substitute \( y \) from the second equation into the first equation We have the equations: 1. \( 3x + 4y = 9 \) 2. \( y = mx + 1 \) Substituting the second equation into the first: ...
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