Question 516803: Solve
2x -5y -3z =7
-4x +10y + 2z = 6
6x -15y - z = -19
Answer by gc2000(22)   (Show Source):
You can put this solution on YOUR website! Sorry, this can't be solved to arrive at a unique solution for x and y, although z = -5.
These equations do not have one unique solution because in each of the three equations x and y are expressed in the exact same ratio (2x : -5y); therefore many (actually infinite) x and y "answers" that fit with that ratio can "successfully" be substituted into all three equations. The z terms have different ratios in relation to x and y, and therefore z can be solved via substitution and/or adding equations; resulting in z = -5; but since there is no proper solution, I didn't show work.
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