Given that 3x + y = 6 and 2x + y = 5, determine the value of y

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During a Pre-technical studies practicals, a learner used a ladder to access the ceiling of their class. The ladder touched the wall at a height of 2 metres. If the ladder was placed 1.5 m from the foot of the wall, how long was the ladder?

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A trader bought 25 apples for sh. 750. She spent sh. 100 on transport. She later sold the apples at sh. 40 each. What was her profit?

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A teacher drew a straight line whose equation is:

2y = x + 1. 

Determine the value of x when y = 2

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What is the probability of getting the side marked 2 when a dice is thrown once?

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Work out the value of y in:

3^{(4 y + 2)}  ÷  9^{(y - 2)} = ¹/₂₇

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A tank has an inlet tap and a discharge tap. The inlet tap takes 40 minutes to fill the tank while the discharge tap takes one hour to empty the tank. If the tank was empty and the two taps were opened at the same time

1. What fraction of the tank had water after 10 minutes?
2. How long did it take for the tank to be half full?

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During a public participation gathering, there were 4x women, 8y men and 160 youths. The number of men was 120 less than that of women. In total, 600 people attended the meeting

1. Find the values of x and y
2. How many men attended the meeting

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