Hi dear friends,
I am wanting to solve a question for a pupil I have, but cannot seem to achieve it. There are 2 questions to this sum. please help...
the equation is:
2x2−xy=3y2
Q1) calculate the value of the ratio xy
Q2) Hence, calculate the values of x and y if x+y=2
Thank you all for helping out, it is as always very much appreciated.
Hi Alan,
gosh, I don't even have a slightest clue where to start...how to start....I'm looking at this..but just do not know at all what to do..I have just googled..found something..maybe.....just give me a minute or so, I'll come back to you..
Alan,
I really do not know....I'm thinking something like this:
xy=−1
so then x=−y
so then x+y=0
However, it is given that x+y=2
uuhh, Alan...I don't know...this makes me feel so utterly stupid!
So, the solution x/y = -1 is not compatible with part 2.
What about the solution x/y = 3/2?
Alan, Thanx for walking me through this...honestly, you will never realise how much this means!!..okay, x:y = 3:2
that gives 2x=3y
which can go to 2x−3y=0
Nothing can be factored..soooo, mabe then I should look at simultaneous equations???, meaning...
2x−3y=0.....(1)
x+y=2
x=2−y.....(2)
(2) in (1)
2(2−y)−3y=0
4−2y−3y=0
−5y=−4
y=45...(3)
(3) in (2)
x=2−45
x=65
So x then is 6\5 and y is 4\5
Is this correct maybe??..
Hey hey!!!..what do you know!!!!...whoop whoop!..I am really excited!!..Thank you sir!