Question

X+y/xy=7/10 ; y-x/xy=3/10
solve for 'x' and 'y'

Answer 1

Answer:

x=2 and y=5

Step-by-step explanation:

Given,

$\frac{y + x }{xy} = \frac{7}{10}$

and

$\frac{y - x}{xy} = \frac{3}{10}$

Cross multiplying and adding

$10(y + x) = 7xy$

$10(y - x) = 3xy$

So,

$10(y + x) + 10(y - x) = 7xy + 3xy \\ 10y + 10y = 10xy \\ 20y = 10xy \\ 20 = 10x \\ x = 2$

So,

$\frac{y + 2}{2y} = \frac{7}{10} \\ 10y + 20 = 14y \\ 14y - 10y = 20 \\ 4y = 20 \\ y = 5$

Hence, x=2 and y=5.

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