what is the equation of straight line passing through intersection of lines 2x+y=3 and x+2y+5=0 , if the intercepts made by the line on positive x axis and positive y axis are in ratio 3:4??
Answer is 12x+9y=5
solving the system, we get the point (11/3, -13/3)
The intercept form of a line is
x/a + y/b = 1
Since b = 4/3 a,
x/a + y/(4/3 a) = 1
x/a + 3y/4a = 1
Plug in the intersection point and you get your equation