Question 112800
{{{F=(9/5)C+32}}} is the given relationship, which is F as a function of C.  But to answer the question, we need to know C as a function of F.  Therefore, the first step is to solve the equation for C in terms of F.


{{{F=(9/5)C+32}}}
{{{F-32=(9/5)C}}}.  Subtract 32 from both sides.
{{{5(F-32)=9C}}}.   Multiply both sides by 5
{{{(5/9)(F-32)=C}}}. Divide both sides by 9


Now we have an expression for C in terms of F, so we can substitute the given value of F (95) to determine C.


{{{(5/9)(95-32)=C}}}
{{{(5/9)(63)=C}}}
{{{5(63/9)=5*7=35=C}}}


Let's check by finding out what F would be if C = 35.

{{{F=(9/5)35+32}}}
{{{F=9*7+32=63+32=95}}} and our answer checks.


Hope that helps,
John