find the common point of px+qy=r and 2px-qy=2r

Question

be as detailed as possible. Thank you (:

Answer 1

The common point is where the two lines cross.  We need the

point where both equations are valid.

 

 px+qy=r

2px-qy=2r

 

Adding the equations we have

3px = 3r

divide by 3

px = r

x= r/p

 

WE can substitute that back into one of the

original equations:

 (1)    px+qy=r

        p(r/p) + qy = r

          r + qy = r  

          qy = 0

          y = 0/q

          y = 0

 

The common point occurs at (r/p, 0)