Math, asked by neelmallick2001, 5 months ago

2/x + 2/3y = 1/6
2/x -1/y = 1​

Answers

Answered by pranjalsingh11
2

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 !!

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