we've just deduced spent on [correction: received by

从商品Y中所得的钱
selling] Y had to go to buying Y,

都用于买Y了
so therefore the Y market is clearing too.

也因此Y市场也出清了
So once you've cleared all the other markets you know that the

所以当你将其他市场都出清时
last market has to clear.

你就会知道最后一个市场也要出清了
So without loss of generality don't worry about last market.

在没有丧失普遍性的情况下就不要担心最后的市场
So that reduced it to five equations and five unknowns,

所以把它缩减为五个等式和五个未知数
so that helped.

是很有利的
We got rid of one equation and we got rid of one unknown.

我们解出了一个等式和一个未知数
So we got rid of the top equation, let's say,

我们假设我们解出的是最上面的等式
and P_X.

和 P_X
One of those two equations, the market clearing equations,

这两个等式有关市场出清的等式