Question

the cost of two tables and one chair is 9000 rupees and cost of 1 table and 4 chair is 8000 rupees find the cost of 1 table and 1 chair​

Answer 1

Answer:

Step-by-step explanation:

let the cost of 1 table be X and cost of 1 chair be Y

therefore,

according to question,

2X + Y = 9000________________________eq.1

X + 4Y = 8000________________________eq.2

Therefore, multiplying eq.2 by 2, we get,

2X + 8Y = 16000________________________eq.3

subtracting eq.1 from eq.3, we get,

  2X + 8Y = 16000

  2X +  Y  = 9000

 -      -         -

_____________________

            7Y = 7000

Y = 1000

THEREFORE, SUBSTITUTING THE VALUE OF Y IN EQ.1, WE GET,

2X + 1000 = 9000

2X = 8000

X = 4000

therefore, cost of 1 table = X = ₹4000

and cost of 1 char = Y = ₹1000