Question

Can x,y be found to satisfy the following equations simultaneously? 2/y+5/x=19,5/y-3/x=1, 3x+ 8y=5. If so, find them.​

Answer 1

Answer:

x = 1/3 or y = 0.5

Step-by-step explanation:

$\frac{2}{y} + \frac{5}{x} =19$ ...1

$\frac{5}{y} - \frac{3}{x} =1$ ...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