Question

Given the linear equation 3x+4y=9 write another linear equation in these two variables such that the geometrical representation of the pair so formed is (¡) intersecting lines and (¡¡) coincident lines​

Answer 1

Answer:

Given equation :

3x + 4y = 9

To make a another equation for interesting line . we know that rule for intersecting line is

$\frac{a1}{a2} \: \cancel= \: \frac{b1}{b2}$

So the another equation is 6x + 7y = 8

Here

$\frac{3}{6} \: \cancel= \: \frac{4}{7}$

So these equations make a intersecting line

To make a coincident line :

$\frac{a1}{a2} = \frac{b1}{b2} = \frac{c1}{c2}$

So the equation is 6x + 8y = 18

Here

$\frac{3}{6} = \frac{4}{8} = \frac{9}{18}$

So this is a coincident line