Question

find those integral values of m for which the x coordinate of the point of intersection of lines represented by y=mx+1 and 3x+4y=9 is an integer

Answer 1

3x+4y=9
4y=9-3x
y=9/4-3x/5
m=-3/5

Answer 2

Answer:

The value of m is $\frac{-3}{4}$ .

Step-by-step explanation:

As the equation given in the question be as follow .

3x + 4y = 9

4y = -3x + 9

Divided both sides of the above equation by 4 .

$\frac{4y}{4} = \frac{-3x+9}{4}$

Simplify the above

$y = \frac{-3x}{4}+\frac{9}{4}$

Compare the above equation with y = mx + c .

Thus

$m = \frac{-3}{4}$

Therefore the value of m is $\frac{-3}{4}$ .