The value of x2 is 24.
What is inversely varying?
Two variables are inversely varying if one variable value increases then other variable value decreases. We can represent this relation with an equation
y ∝ 1/x
⇒ y=k/x
where k is a constant.
According to asked problem y is varying inversely with x.
given, x1=6
y1=8
putting these values in the above equation,
8=k/6
⇒k=48
Now we have the value of k.
So the inversely varying equation will become,
y=48/x
By putting the value y2=2
2=48/x
⇒x=48/2
⇒x=24
The value of x2 is 24.
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