Given a system of the form
− m1x1 + x2 = b1
− m2x1 + x2 = b2
where m1, m2, b1, and b2 are constants:
(a) Show that the system will have a unique solution if m1 ≠ m2.
(b) If m1 = m2, show that the system will be consistent only if b1 = b2.
(c) Give a geometric interpretation to parts (a) and (b).