[(B) x 2] - (A) is used to eliminate z and get a ratio for x and y.
Similarly, (B) - [(A) x 2] is done to eliminate x. This gives the ratio of y and z.
Combining the above 2 results, we can arrive at x:y:z.The manipulation to the equations must be done in such a way that we eliminate 1 variable so as to get a ratio between the remaining two.
Does it make sense?
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