Math, asked by khushikendu, 6 months ago

please tell me the answer..​

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Answered by indrajitroy0098
1

Answer:

x=1/4 and y=1/3

Step-by-step explanation:

follow the elimination method by multiplying the second equation by 2 and deducting with equation 1 gives the value of Y and then put the value of Y to any of the question 1 of 2 to get the value of X

Answered by akshatbanzal0800
1

Answer:

x =  \frac{1}{4}  \:  \:  \:  \:  \:  \: y =  \frac{1}{3}

Step-by-step explanation:

 \frac{1}{x}  +  \frac{1}{y}  = 7 \\  \\  \frac{y + x}{xy}  = 7

x + y = 7xy  \:  \:  \:  \:  \:  \:  \:  \:  \: (1)

 \frac{2}{x}  +  \frac{3}{y}  = 17 \\  \\  \frac{2y + 3x}{xy}  = 17

2y + 3x = 17xy \:  \:  \:  \:  \:  \:  \:  \:  \: (2)

Multiplying both sides of (1) by 2,

2x + 2y = 14 \:  \:  \:  \:  \:  \:  \:  \: (3)

Subtracting (3) from (2),

2y + 3x - 2x - 2y = 17xy - 14xy \\  \\ x = 3xy

y =  \frac{1}{3}  \:  \:  \:  \:  \:  \: (4)

From (1),

x + y = 7xy \\  \\ x +  \frac{1}{3 }  =  \frac{7x}{3}

 \frac{1}{3}  =  \frac{4x}{3}  \\  \\ x =  \frac{1}{4}

Thus, x = 0.25 , y = 0.33

Hope it helps

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