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) Show that if m1 = m2, then the system will be consistent only if b1 = b2.
(c) Give a geometric interpretation of parts (a) and (b).
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