Question

Solve the following systems of equations:
$\frac{3}{x}- \frac{1}{y} =-9$
$\frac{2}{x}+ \frac{3}{y} =5$

Answer 1

Given pair of system of equation :  

3/x -  1/y = - 9 …………...( 1 )

2/x + 3/y = 5 …………...( 2)

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

Now eq 1 & 2 becomes :  

3u - v = - 9 ………... (3)

2u + 3v = 5 …….... (4)

On multiplying equation (3) by 3 we get,

9u - 3v = - 27 ….. …..(5)

On adding equation (4) and equation (5) we get,

2u + 3v = 5  

9u - 3v = - 27

-------------------

11u = - 22

u = - 22/11

u = - 2

On putting u = - 2 in equation (3) we get :  

3u - v = - 9

3 × - 2 - v = - 9

-6 - v = - 9

-v = - 9 + 6

-v = - 3

v = 3

Therefore , 1/x = u = - 2   & 1/y = v = 3

Then, x = - ½ & y = 1/3

Hence, the value of the given system of equation is x = - 1/2   and y = ⅓.

Hope this answer will help you…

 

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Answer 2

Answer:

Hope it helps you.....