# Finding positive solutions to two equations

After solving a system of equations I get this:

x + 0.03125z = 0.242813
y + 0.40625z = 0.456563


How can I filter solutions that are only positive for x y and z

Ted

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Are your constants really reals? It looks like it may be rounded from $x+\frac{z}{32}=\frac{777y}{3200}+\frac{13z}{32}=\frac{1461}{3200}$ If not, you can use the decimals in the following. Break it into $3200x+100z=1461$ and $777y+1300z=1461$. You can see that $x \le \frac {1461}{3200}, y \le \frac {1461}{777}, z\le \frac {1461}{1300}$ and as any one gets larger, it drives down the others.

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Perhaps you could glean something from this.

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