Match the following situation with one of the linear systems. Lewis wants to acquire at most 12 packages of baseball cards. Some packages have 4 rookie cards and some have only 3. In all, there are at most 38 rookie cards.
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If we define y as the number of 4 rookie card packs he buys and x as the number of 3 rookie card packs he buys.... clearly:
\[4y+3x \le 38\] And since he wants to buy at most 12 packs of cards:
\[x+y \le 12\]
Assuming the card packs come in integer numbers (a fair assumption). This systems has solutions (x,y)=(2,8) & (6,5) & (10,2)