Question 392770

With a formula, you know the variable's value, and you have to calculate the value of the function of it. A formula is an equation that involves two or more variables that have a specific relationship with each other.


With an equation, you know the function's value, and you have to calculate the value of the variable.

Example :   Solve the equation {{{P = 2L + 2W}}} for {{{L}}}.

 
Do you recognize this formula?

This happens to be the formula for the {{{perimeter}}} of a {{{rectangle}}},

 where {{{P = perimeter}}}, {{{L = length}}}, and {{{W = width}}}.

In this problem, we need to solve for {{{L}}}.  This means we need to get 

{{{L}}} on one side and EVERYTHING ELSE on the other side using {{{inverse 

}}}operations.


Let’s solve this formula for{{{ L}}}:

	
{{{P = 2L + 2W}}}...........
 

{{{P -2W  = 2L + 2W - 2W}}}..........Inverse of add {{{2W}}} is subtract 
{{{2W}}}

{{{P -2W  = 2L }}}
 
{{{(P -2W)/2  = 2L /2}}}..................Inverse of multiply by {{{2}}} is 

divide by {{{2}}}


{{{(P -2W)/2  = L }}}..............................Formula solved for L