I think your answer looks fine. We are doing this in my school as well. The question is rather open for personal opinion, so as long as you can back it up, it is fine.
Sorry if this does not help
Is there a case when you might prefer algebraically over graphically solving a system? Why or why not? Think about the type of possible solutions and how the method might affect your choice.
My answer: A case when I would prefer a algebraically would be trying to figure out how much my pay check would be if I got a new job. I would figure out the number of hours and times that by the hours I would work to determine the amount of money I would make each week. This would work better for me rather than making a graph. Making a graph would only be beneficial if I was comparing two differant jobs to see which one was better.
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