As y varies directly with x, for y=6 the value of x will be -3.
In mathematics, inverse variation refers to the relationships between variables expressed as y = k/x, where x and y are two variables and k is a constant. According to this statement, if the value of one item rises, the value of the other quantity falls.
As y varies directly with x,
Using inverse variation,
⇒ y = kx
⇒ 4 = k (-2)
⇒ k = -2
⇒ For y = 6,
⇒ x = y / k
⇒ x = 6 / -2
⇒ x = -3
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