Chapter I : Linear Equations in two variables in two variables

Example 15.Three chairs and two tables cost Rs 1850. Five chairs and three tables cost Rs 2850. Find the cost of two chairs and two tables.

Solutions:- Let price of one chair be Rs. x and price of one table be Rs. y.

Price of 3 chairs and 2 tables is 3x + 2y

and price of 5 chairs and 3 tables is 5x + 3y

and 3x + 2y = 1850 ------------------- (2)

Multiplying equation (1) be 2 and equation (2) by 3 and then subtracting (2) from (1) we get

Putting x = 150 in equation (2) we get

Cost of 2 chairs and 2 tables