Answer:

Step-by-step explanation:
Let
be the number of bags with 8 onions and let
be the number of bags with 3 onions. We have the following system of equations:

Subtracting
from both sides of the first equation, we get
. Substitute this into the second equation:

Therefore, the number of 8-onion bags is:

Thus, the chef got 4 8-onion bags and 3 3-onion bags.
Answer:
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They do not intersect, they are parallel lines.