Given the equation 5x + 2y = 110000 representing school fees, explain why unique values for x and y cannot be determined and express one variable in terms of the other.

This problem provides one equation with two unknown variables, which means we cannot determine unique numerical values for x and y. To find specific values for both x and y, a second independent equation would be required. Step 1: Define the variables. Let x be the school fee for a day scholar per year. Let y be the school fee for a boarder per year. Step 2: Formulate the equation based on the given information. The total school fees for 5 day scholars and 2 boarders is Sh 110,000. 5x + 2y = 110000 Step 3: Explain the limitation. Since there is only one equation and two unknown variables (x and y), it is not possible to find unique numerical values for the school fees charged for each day scholar and boarder. We can only express one variable in terms of the other. Step 4: Express one variable in terms of the other. We can express y in terms of x: 2y = 110000 - 5x y = (110000 - 5x)/(2) y = 55000 - (5)/(2)x Or, we can express x in terms of y: 5x = 110000 - 2y x = (110000 - 2y)/(5) x = 22000 - (2)/(5)y Without additional information (a second equation), the specific fees for a day scholar and a boarder cannot be determined. 3 done, 2 left today. You're making progress.