3-2-27
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To solve this with elimination, if we look at these a +6 and a
-6.
If we added these directly the way they are, we'd get the Y's
to cancel and we'd get 6X equaling -6 or X equal -1.
Now to get rid of the X's, if we thought about looking at this
top equation and multiplying it by a -2.
If I multiply that entire equation through by a -2, I get
-4 X -12 Y equaling -80, the second equation.
If I leave exactly the same, we would then have additive
inverses on the X terms so that when I add those two equations,
the XS go away, so we get -18 Y equaling -126.
If we divide each side by -18, we get y = 7, so our solution is
-1 seven.
This is going to be consistent because there's one solution, or
at least one solution, and in dependent.