Find the equation of a line which passes through the point of intersection of lines x + 2y = 5 and x – 3y = 7 and also passes through the point (0, –1) ml js

Let the equation of line be

(x + 2y – 5) + O(x – 3y – 7) = 0

As it passes through (0, –1)

$\therefore 0-2-5+\lambda(0+3-7)=0$

$-7-4 \lambda=0$

$\lambda=\frac{-7}{4}$

$\therefore$ Equation of line is

$(x+2 y-5) \frac{-7}{4}(x-3 y-7)=0$

$\Rightarrow 4 x+8 y-20-7 x+21 y+49=0$

$-3 x+29 y+29=0$

$3 x-29 y-29=0$