Question

If x - y = 2 and 2/x + y = 1/5 then 

(a) x = 4, y = 2 

(b) x = 5, y = 3 

(c) x = 6, y = 4 

(d) x = 7, y = 5

Answer 1

(c) x = 6, y = 4

The given system of equations is 

x – y = 2 ……..(i) 

x + y = 10 ……..(ii) 

Adding (i) and (ii), we get 

2x = 12 

⇒ x = 6 

Now, putting x = 6 in (ii), we have 

6 + y = 10 

⇒ y = 10 – 6 = 4 

Thus, x = 6 and y = 4.