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y=t where t is any real number We get solutions by picking t and plugging this into the equation for x. Note that this is NOT the
same set of equations we got in the first section. That is okay. When there are infinitely many
solutions there are more than one way to write the equations that will describe all the solutions.
[Return to Problems]
© 2007 Paul Dawkins 337 http://tutorial.math.lamar.edu/terms.aspx College Algebra Let’s summarize what we learned in the previous set of examples. First, if we have a row in
which all the entries except for the very last one are zeroes and the last entry is NOT zero then we
can stop and the system will have no solution.
Next, if we get a row of all zeroes then we will have infinitely many solutions. We will then need
to do a little more work to get the solution and the number of equations will determine how much
work we need to do.
Now, let’s see how some systems with three equations work. The no solution case will be
identical, but the infinite solution case will have a little work t...
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- Spring '12