The value of k is
Given:
x-y=k.............(eq i)
2x²+y²-15..............(eq ii)
We would make y the subject formula in eq ii
2x²+y²-15= 0
2x² + y²= 15
y²= 15-2x²
y= ...........(eq iii)
Substitute the value of y into eq i
x-(= k
x- (= k
k=
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For this case we have that by definition, a direct variation is given by:
Where:
k: It is the constant of proportionality of the variables.
On the other hand, we have that the inverse variation is given by:
Where:
k: It is the constant of proportionality of the variables.
In this way, the correct option is:
ANswer:
Option A