When solving Simultaneous Equations,
there are THREE (3) OPTIONS:
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1) the expected answer is AN ORDERED PAIR.
2) Sometimes the two equations form
the SAME LINE. (An infinite number of solutions)
3) Or the two lines are PARALLEL.
- when parallel there is NO SOLUTION.
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1) When finding the answer to ONE OF THE VARIABLES,
you will see something like x = a NUMBER.
Remember that that NUMBER COULD BE ZERO.
so when you get x = 0 that just means that
the FIRST MEMBER of the ORDERED PAIR is ZERO.
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2) Option #2 will show up when you see a
result that looks like:
5 = 5 or -34 = -34 or 0 = 0
(Note: the 0=0 result can be confused with
option #1 when x=0 appears)
so 0 = 0 means the SAME LINE.
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3) Option #3 produces equations like:
5 = 8 or 0 = 15
These obviously impossible equations
show that the LINES ARE PARALLEL.
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HERE IS THE PROBLEM WE DID TOGETHER
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Example #1 is above
Example #2 is below
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COPY THE TWO PROBLEM
EXAMPLES ABOVE FOR
YOUR QUIZ ON MONDAY.
Put them into your notebook!
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