Question

A school is organizing a grand cultural event to show the talent of its students. To accommodate the guests, the school plans to rent chairs and tables from a local supplier. It finds that rent for each chair is ₹ 50 and for each table is ₹ 200. The school spends ₹ 30,000 for renting the chairs and tables. Also, the total number of items (chairs and tables) rented are 300. If the school rents 'x' chairs and 'y' tables, answer the following questions :

Solve the following system of equations graphically : x + 3y = 6; 2x – 3y = 12

x and y are complementary angles such that x : y = 1 : 2. Express the given information as a system of linear equations in two variables and hence solve it.

Solve graphically the following pair of linear equations : 2x – y = 2 and 4x – y = 4 Also, write the coordinates of the points where the lines represented by these equations cut the y-axis.