Question

21/x + 47/y = 10 27/x + 21/y =162​

Answer 1

Answer:

21x+47y=110.....(1)

47x+21y=162.....(2)

Multiplying equation (1) by 21, we get

441x+987y=2310.....(3)

Also multiplying equation (2) by 47, we get

2209x+987y=7614.....(4)

Now, subtracting equation (3) from (4), we have

(2209x+987y)−(441x+987y)=7614−2310

1768x=5304

⇒x=17685304=3

Substituting the value of x in equation (1), we have

21×3+47y=110

⇒47y=110−63

⇒y=4747=1

Therefore, 

x=3 and y=1.