Assume that y varies inversely with x. if y=7 when x=-2, find y when x=7

y=-2

Step-by-step explanation:

The formula for inverse variation is

xy = k

if y=7 when x=-2, we can substitute these numbers in to find k

(-2) (7) = k

-14 = k

The equation becomes

xy = - 14

Let x = 7

7y = - 14

Divide each side by 7

7y/7 = - 14/7

y = - 2