Posted by Gail on Tuesday, March 24, 2009 at 7:23pm.
Solve the system of equations using the addition (elimination) method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is "no solution" or "infinitely many solutions" and state how you arrived at that conclusion.
3x  11y = 9
9x + 33y = 27

Math  Reiny, Tuesday, March 24, 2009 at 7:41pm
Did you notice that if you multiply the first equation by 3 you get the second equation?
or, as I guess happened when you did this question,
if you multiply the first equation by 3 and then add the two equations you end up with 0 = 0
If that happens there will be an infinite number of solutions.
(you are really only dealing with one equations whose graph is a straight line, and a straight line has an infinite number of points on it)
However, had your first equation been
3x  11y = 8
then multiplying it by 3 and then adding it to the second equation would give you
0 = 3 which of course is FALSE.
then there would be no solution.
(your graph would be two parallel lines which would never meet, thus no solution)

Math  Gail, Tuesday, March 24, 2009 at 8:09pm
thank you
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