Question

2÷√x + 3÷√y = 13
5÷√x - 4÷√y = -2
solve the pair of linear equation by elimination method

Answer 1

Answer

2/√x + 3/√y = 13 ...(i)

5/√x - 4/√y = -2 ...(ii)

Now by multiplication of 4 in equation (i) and 3 in equation (ii)

→ 8/√x + 12/√y = 52 ...(iii)

→15/√x - 12/√y = -6 ...(iv)

Now we will add (iv) to (iii)

8/√x + 12/√y = 52

15/√x - 12/√y = -6

___________________

23/√x = 46

=> 1/√x = 46/23

=> 1/√x = 2

=> √x = 1/2

=> x = (1/2)²

=> x = 1/4

Now by substiting value of √x in equation (i).

2/√x + 3/√y = 13

=> 2 × 2 + 3/√y = 13

=> 4 + 3/√y = 13

=> 3/√y = 9

=> 1/√y = 3

=> √y = 1/3

=> y = (1/3)²

=> y = 1/9

So Value of

x = 1/4

y = 1/9

Answer 2

Answer:

-2

Step-by-step explanation: