Let $\mathit{x}$ be the time during the first part of the trip and $\mathit{y}$ be the time during the second part of the trip. Samantha traveled averaged $52\mathrm{mph}$ for the first part of her trip and then $64\mathrm{mph}$ for the second part of her trip. She traveled 286.4 miles in 5 hours. Which two equations can be used to find each?

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