Question

if
$\frac{1}{x} + \frac{2}{y} = 5 \: \frac{3}{x} - \frac{1}{y} = 8$
then the value of X,y is​

Answer 1

Answer:

x = ⅓, y = 1

Step-by-step explanation:

Let $\frac{1}{x} = p \: and \: \frac{1}{y} = q$

1st equation:

p + 2q = 5

2nd equation:

3p - q = 8

3 times 1st equation - 2nd equation

3p + 6q = 15

(-)3p - q = 8

-> 7q = 7

-> q = 1

-> 1/y = 1

-> y = 1

1st equation + 2 times 2nd equation

p + 2q = 5

(+)6p - 2q = 16

-> 7p = 21

-> p = 3

-> 1/x = 3

-> x = ⅓