Question

4 chairs and 3 table cost rupees 2100 and 5 chair and 2 tables cost 1750 find the cost of a chair and table separately​

Answer 1

4x + 3y = 2100...... (1)

5x + 2y = 1750 ........(2)

Multiplying (1) with 2 and (2) with 3 and thus subtracting the obtained equations,

15x + 6y = 5250

- 8x - 6y = - 4200

______________

7x = 1050

----------------------

=>$\fbox{ x = 150}$

So, using x=150 in (1),

600 + 3y = 2100

=> 3y = 1500

=>$\fbox{ y = 500}$

Answer 2

Answer:

4x + 3y = 2100  (1) x2

5x + 2y = 1750  (2) x3

8x + 6y =4200

15x + 6y  = 5250

(-)    (-)        (-)

-7x = -1050

x = 1050/7

x = 150

therefore , y = (2100 - 4x ) / 3

(2100 - 4 * 150 ) / 3 = 500

Therefore , x = 150 , y =  500