Question

p = a – bq

p = c + dq

Assume that a > c > 0 and that d > 0, b > 0. Solve for the values of p and q (in terms of the parameters a, b, c, d) that represent the intersection of these two lines. Graph your solution with p on the vertical axis and q on the horizontal axis. Note that a, b, c, d are simply positive constants.

Answer 1

The given equations are

Multiplying first equation by (d) and second equation by (b) and adding them we get

gives the point of intersection of the two lines.

The graph of the two lines is shown in figure below.