Solve the following system of equations:3/x – 1/y = −9;2/x + 3/y =

1.	Solve the following system of equations:3/x – 1/y = −9;2/x + 3/y = 5
Answer» Let 1/x = u and 1/y = v So, the given equations becomes 3u – v = -9…………(i) 2u + 3v = 5 ……….(ii) Multiplying equation (i) x 3 and (ii) x 1 we get, 9u – 3v = -27 …….(iii) 2u + 3v = 5 ………(iv) Adding equation (iii) and (iv) we get , 9u + 2u – 3v + 3v = -27 + 5 ⇒ 11u = -22 ⇒ u = -2 Now putting u = -2 in equation (iv) we get, 2(-2) + 3v = 5 ⇒ 3v = 9 ⇒ v = 3 Hence, x = 1/u = −1/2 and, y = 1/v = 1/3.

Solve the following system of equations:3/x – 1/y = −9;2/x + 3/y = 5

Answer»

Let 1/x = u and 1/y = v

So, the given equations becomes

3u – v = -9…………(i)

2u + 3v = 5 ……….(ii)

Multiplying equation (i) x 3 and (ii) x 1 we get,

9u – 3v = -27 …….(iii)

2u + 3v = 5 ………(iv)

Adding equation (iii) and (iv) we get ,

9u + 2u – 3v + 3v = -27 + 5

⇒ 11u = -22

⇒ u = -2

Now putting u = -2 in equation (iv) we get,

2(-2) + 3v = 5

⇒ 3v = 9

⇒ v = 3

Hence, x = 1/u = −1/2 and, y = 1/v = 1/3.