Q: Implicit differentiation of xy plus x equals 2?

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xy + y = z xy = z - y (xy)/y = (z - y)/y x = (z - y)/y

xy and yx are identical so you have 2xy = 545 ie xy = 272.5. Possible answers 5 and 54.5, 10.9 and 25 etc

Just plug in the values for x and y. 4(-1) - 2(5) + (-1)(5) = -19

x2y + axy + abx + a2b Factor by grouping. xy(x + a) + ab(x + a) (xy + ab)(x + a)

4

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mid point of xy

xy + y = z xy = z - y (xy)/y = (z - y)/y x = (z - y)/y

true

x+xy=8 xy=-x+8 y=-1+8/x

6

xy + xy = 2xy

x and y are being combined using a binary operation called "plus" and the result is xy.

It cannot be a property since it is not generally true!

Yes

between X and Y

by implicit differentiation you have y+x*dy/dx-2dy/dx=0 solving for dy/dx you'll have dy/dx=y/(2-x) and solving for y in the original equation and plugging it back in, you'll get dy/dx=1/(-x^2 +4x-4) which is your final answer

It is an expression in the form of: xy+7