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22 votes
X-2y+3z=-1
-3x+6y-9z=3
2x-4y+6z=-2

1 Answer

7 votes

Explanation:

out of the first equation we get

x = 2y - 3z - 1

this we use in the second equation

-3(2y - 3z - 1) + 6y - 9z = 3

-6y + 9z + 3 + 6y - 9z = 3

0 = 0

this is the same equation as the first one, just multiplied by -3.

and we see the third equation is again the same one as the first just multiplied by 2.

so, there are infinite solutions.

this has not a single solution, as in the end this is just one equation with 3 variables.

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