# Red, Green Beans and Bottles

Algebra Level 2

I have some red, green beans and bottles. If I put $$5$$ beans into each bottle, nothing will be left. Instead, if I put $$3$$ red beans into each bottle, I will have $$1$$ red bean left. However, if I put $$3$$ green beans into each bottle, I will have $$2$$ green beans and $$2$$ bottles left.

Express red beans as $$x$$, green beans as $$y$$, bottles as $$z$$, find the value of $$xyz-xy$$

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