Question

2/x + 2/3y = 1/6
2/x -1/y = 1​

Answer 1

Answer:

Hey Mate, Here is your answer : x = 4 & y = -2

Step-by-step explanation:

$\frac{2}{x} + \frac{2}{3y} = \frac{1}{6} \: \: \: \: \: .... (1) \: \\ \ \\ \frac{2}{x} - \frac{1}{y} = 1 \: \: \: \: \: ....(2) \:$

Multiply both sides by (-1) in equation 2, we get

$- \frac{2}{x} + \frac{1}{y} = - 1 \: \: \: \: ....(3)$

Add Equation (1) and (3), we get

$\frac{5}{3y} = - \frac{5}{6}$

After solving the above Equation, we get

$y \: = - 2$

Put, y = -2 in Equation (2), we get

$x = 4$

Hope it will help you !!