Sunday

February 1, 2015

February 1, 2015

Posted by **Xein** on Saturday, November 23, 2013 at 9:11am.

It's really hard even for the teachers it took them a while. So I I was wondering how to solve it

- Math grade 9 and up -
**Jai**, Saturday, November 23, 2013 at 10:03amx/s + y/w = 1

s/x + w/y = 4

You can use substitution.

From the first equation,

wx + sy = sw

x = (sw - sy)/w

Substitute to the second equation:

s/x + w/y = 4

sy + wx = 4xy

sy + (w)((sw - sy)/w) = 4((sw - sy)/w)y

sy + sw - sy = 4y(sw - sy)/w

sw^2 = 4swy - 4sy^2

4sy^2 - 4swy + sw^2 = 0

s(4y^2 - 4wy + w^2) = 0

Factoring,

s(2y - w)(2y - w) = 0

y = w/2

Substituting this to x:

y = w/2:

x = (sw - sy)/w

x = (sw - s(w/2))/w

x = (sw - sw/2)/w

x = (1/2)s

x = s/2

Thus, x + y = w/2 + s/2

Hope this helps :)

**Answer this Question**

**Related Questions**

Maths - is it possible to find a sequence with the ruleadd four for wich all ...

math - how do i solve the sum of the first n even positive integers is h. the ...

math - The product of two consecutive positive even integers is 48. Find the ...

Math - The product of two consecutive even positive integers is 120. Find the ...

11th grade mths - Please check urgently .I have to submit the assignment A give ...

Math - I need help with this problem: If N= {1,2,3,4,....}, A= {x/x=2n-1, n E N...

MATH EMERGENCY!! - Please help. I know I asked this before, but the answer was ...

Math - What 3 positive integers satisfy a^3+b^3=c^3 ?

math - Ex 12: The smallest of five consecutive integers is represent by y-3. ...

math - U is the set of positive integers less than or equal to 30. A is the set ...