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Algebra Level 2

Let:

1 x − 1 y = 1 4 \dfrac{1}{x}-\dfrac{1}{y} = \dfrac{1}{4}

Find:

( 2 y + 3 x y − 2 x ) / ( y − x − 2 x y ) (2y+3xy-2x)/(y-x-2xy)

4 0.6 -1 -2

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Christian Daang by Christian Daang , 20, Philippines

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2 solutions

Christian Daang
Oct 26, 2014

Given:

1/x - 1/y = 1/4 ----> (y-x)/(xy) = 1/4 -----> xy = 4y-4x

Then,

(2y+3xy-2x)/(y-x-2xy)

----->(2y-2x+3(4y-4x))/(y-x-2(4y-4x)

-----> (2y-2x+12y-12x)/(y-x-8y+8x)

----->(14y-14x)/(-7y+7x)

------> 7(2)(y-x)/(-7)(y-x)

----> -2

Final Answer: -2

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Hi @Christian Daang

Wrap all the mathematical terms in (...... and end it with \ and )

for example for representing 1/x write \frac{1}{x} and wrap this mathematical text in the above symbol shown. and for more see the aditya raut latest note or latex guide by Daniel liu or in google just type math formatting guide or you can simply go to this site (Mathquill)

U Z - 6 years, 7 months ago

Given: 1/x-1/y = 1/4 (2y+3xy-2x)/y-x-2xy) Solution: (2y+3xy-2x)/xy----------> 2/x+3-2/y ----> 2(1/x-1/y) + 3 ----> 2(1/4)+ 3 =7/2 (y-x-2xy)/xy ----------> 1/x-1/y - 2 ------> 1/4-2 = -7/4 (7/2)/(-7/4) = -2

0 Helpful 0 Interesting 0 Brilliant 0 Confused

By putting different x,y for given equation we can find the value of given expression

Aruna Chauhan - 4 years, 4 months ago

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