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AR15.COM
9/14/2006 10:30:12 PM EDT
Given a system of the form
¡m1x + y = b1
¡m2x + y = b2
where m1, m2, b1, and b2 are constants:
(a) Show that the system will have a unique solution if m1 6= 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).

How do i start this?
9/14/2006 10:37:44 PM EDT
[#1]
I'm stumped for part A.
Part B might be some sort of associative property.
Part C should look like this:

9/14/2006 10:44:00 PM EDT
[#2]
that looks like one of those jewish candle things on steroids.
9/14/2006 10:52:07 PM EDT
[#3]
i dont need a logic flowchart for hardware arrangement. but thanks anyway!
9/14/2006 11:47:21 PM EDT
[#4]
Re-type or make a jpg - is that really supposed to be an i (square root of negative one) or what?   IIRC the usage would be following a constant, but preceeding a variable.

Guessing that you are in the beginning of the book at this point in September...this looks like a fairly ordinary set of two equations, and fortunately there are two unknowns.  

So if  

m1 6= m2
you can substitute the m2 in the second equation with the expression containing m1.   Including a symbol such as + or * in betwwen the m1 and the 6 would help, btw.  Then see what you have.

In a similar fashion, substitute m1 for m2 (they are equal) and see what you get.

Finally, you can graph a line by re-arranging to the more familiar Y = mX + b.