Question

15. Can x, y be found to satisfy the following equations simultaneously?
3/х-2/у=1
4/x+5/y=2
9x - 4 y + 23 = 0
If so, find them.
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Answer 1

Answer:

x = 1/3 or y = 0.5

Step-by-step explanation:

2/y + 5/x =19 ...1

5/y - 3/x =1  ...2

3x + 8y =5 ...3

Eq 1: 2x + 5y = 19xy

Eq 2: 5x - 3y = xy

Eq 2 x 19: 95x - 57y = 19xy

       Eq 1: 2x + 5y = 19xy     -

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              93x - 62y = 0

     Eq 3:   3x  + 8y = 5

Eq 3 x 31: 93x + 248y = 155

               93x - 62y = 0 -

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                        310y = 155

                              ∴y = 0.5

                              & x= 1/3