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December 21, 2014

December 21, 2014

Posted by **Dee** on Sunday, September 11, 2011 at 4:58pm.

4x−8y−24z=−20

x−2y−6z=−5

3x−6y−18z=15

- Finite Math -
**MathMate**, Sunday, September 11, 2011 at 9:21pmBy inspection, we see that the first equation is a linear combination (4 times) the second equation. Similarly, the third equation can be obtained by multiplying equation 2 three times.

Therefore the equations represent 3 coincident lines:

x-2y-6z=-5

Let z = t, and y = s, then we can solve for x in terms of s and t:

x = -5 +2s + 6t

y = s

z = t

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