Hello, I have an algebra question involving three equations with three variables (well six actually, but they are two different sets). I have solved them, but I don't think the answers are right and I was pretty much winging it, so an idea of how to properly solve one would help. The two sets of equations are behind the cut.

constant: z = 1 - x - y (therefore they are all equal to one, so they are a fraction/decimal and, in this case, a probability. this is for a game theory class).

first set: x - y + z = v (v stands for value of the game) x + 2y + z = v -x - y +2z = v

second set: x - y - z = v -x + 2y - z = v x + y + 2z = v

basically solve for all the variables (x, y, z, and v(alue) if you can). thank you.

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