Problems Reducible to Linear Equations in 2 Variables

Q.

Question 3
The cost of 2 kg of apples and 1kg of grapes on a day was found to be Rs 160. After a month, the cost of 4 kg of apples and 2 kg of grapes is Rs 300. Represent the situation algebraically and geometrically.

Q. Nikhil spent ₹13, 200 to buy clothes for 20 children and 4 adults. The cost of a cloth for an adult is ₹300 more than that of a cloth for a child. Sunil bought the same number of clothes as Nikhil but the number of adult and children clothes were interchanged. Find the total cost he had paid for all the clothes.

1. ₹14, 000
2. ₹16, 000
3. ₹12, 000
4. ₹18, 000

Q. Match the following with their type of lines.

1. Parallel
2. Intersecting
3. Coincident

Q.

Question 3
The cost of 2 kg of apples and 1kg of grapes on a day was found to be Rs 160. After a month, the cost of 4 kg of apples and 2 kg of grapes is Rs 300. Represent the situation algebraically and geometrically.

Q. The equation $\frac{1}{x}+8=11$ can be converted into a linear equation by substituting $\frac{1}{x}=u$.

1. False
2. True

Q. $\frac{1}{x}+\frac{1}{y}=76$ is a non linear equation.

1. True
2. False