Doctor Taylor,
I attached a screenshot from the solutions from the final exam review that is on the math department website.
When looking at where it says "System" it goes from 2x+2y-8=0 to x+y=8. Is that a mistake?
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Yes, a big mistake. It should read x + y = 4, and from this you get -2y = -2 ==> y = 1 & x = 3.

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