varies directly as
and
varies inversely as
.
Find when
and
and
when
and
.
Consider the values are and
.
Find .
varies directly as
, and
goes in the numerator as well as
varies inversely as
,and
goes in the denominator.
\ \
(Solve for
)
(Set the two proportions equal to each other)
(Substitute
and
)
(Cross multiply)
(Simplify)
(Divide each side by
)
(Cancel common term)
Therefore, the value of is
.
When and
and the value of
.