Write a system of equations

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Kelsey and Linda are saving up to go on a trip together at the end of the summer.  Kelsey had $98 at the beginning of the summer and makes $50 as an assistant camp counselor. Linda had $123 at the beginning of the summer, but she is helping her best friend paint house which pays $45 per day.  Write a system of equations to represent this situation.  Then use the substitution method with that system to determine after how many days of working will they have the same amount of money.  On that day how much money will they each have? You must Show all the steps to check the solutions.

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