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The function f(x,y) is such that f(x,y) = (3x + 7y)/(x

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The function f(x,y) is such that f(x,y) = (3x + 7y)/(x [#permalink] New post 07 May 2013, 01:14
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The function f(x,y) is such that f(x,y) = (3x + 7y)/(x+y), where x+y\neq{0}.

In the table, select a value for x and a value for y corresponding to f(x,y) = 4. Make only two selections, one in each column.


x --- y
------- 3
------- 5
------- 7
------- 9
------- 12
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Re: The function f(x,y) is such that f(x,y) = (3x + 7y)/(x [#permalink] New post 07 May 2013, 09:36
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For the above expression:

f(x,y) = 3x+7y/x+y, where x+y != 0, if the value of f(x,y) = 4, the expression can be reduced to:

f(x,y) = 4 = 3x+7y/x+y
=> x = 7y - 4y
=> x = 3y

From the table of values given I am assuming we are to select two values which are fit the equation f(x,y).

Bunuel wrote:
In the table, select a value for x and a value for y corresponding to f(x,y) = 4. Make only two selections, one in each column.

x --- y
------- 3
------- 5
------- 7
------- 9
------- 12


The only values which match the above condition are 3 and 9. Hence f(9,3) = 4. **edited as rajmatthew pointed out. Thanks Raj!

Please correct me if I am wrong! :)

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Last edited by arpanpatnaik on 09 May 2013, 02:16, edited 1 time in total.
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Re: The function f(x,y) is such that f(x,y) = (3x + 7y)/(x [#permalink] New post 08 May 2013, 19:00
Hi I feel x should be 9 and y =3 unlike how you put. You can substitute and see for yourself
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Re: The function f(x,y) is such that f(x,y) = (3x + 7y)/(x [#permalink] New post 10 May 2013, 21:34
Here the equation x= 3y will give us one solution i.e. x= 9,y=3 from the given set of values.

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Re: The function f(x,y) is such that f(x,y) = (3x + 7y)/(x [#permalink] New post 12 Jul 2013, 12:40
after solving x= 3y so x=9 and Y = 3
Re: The function f(x,y) is such that f(x,y) = (3x + 7y)/(x   [#permalink] 12 Jul 2013, 12:40
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