Question

How do you solve for FV in ${\text{A}} = \dfrac{{{\text{FV}} - {\text{OV}}}}{{\text{T}}}?$

Answer 1

Hint: This is nothing but an equation with too many variables. You can solve this equation for the variable FV, by converting it from independent to dependent variable. In simple words, by simplifying the equation with the help of algebraic operations in such a manner that FV will come to the left hand side and rest all the variables should be on the right hand side.

Complete step by step solution:
In order to solve the given equation ${\text{A}} = \dfrac{{{\text{FV}} - {\text{OV}}}}{{\text{T}}}$ for FV,
We will apply required algebraic operations to it, in order to make FV dependent variable or send it to left hand side as follows:
$ \Rightarrow {\text{A}} = \dfrac{{{\text{FV}} - {\text{OV}}}}{{\text{T}}}$
First multiplying T to both sides, in order to remove it from the denominator at right hand side of the equation,
$
\Rightarrow {\text{A}} \times {\text{T}} = \dfrac{{{\text{FV}} - {\text{OV}}}}{{\text{T}}} \times
{\text{T}} \\
\Rightarrow {\text{AT}} = {\text{FV}} - {\text{OV}} \\
$
Since, there is equal to sign in between the expressions, so we can also write is as,
$ \Rightarrow {\text{FV}} - {\text{OV}} = {\text{AT}}$
Now, adding OV to both sides of the equation, in order to remove it from left hand side and send to the right hand side, we will get
$
\Rightarrow {\text{FV}} - {\text{OV}} + {\text{OV}} = {\text{AT}} + {\text{OV}} \\
\Rightarrow {\text{FV}} = {\text{AT}} + {\text{OV}} \\
$
So, ${\text{FV}} = {\text{AT}} + {\text{OV}}$ is the required solution for FV in the equation ${\text{A}} = \dfrac{{{\text{FV}} - {\text{OV}}}}{{\text{T}}}$

Note: If you are having trouble in understanding the above process for finding a solution for FV in the given equation, then do one thing, that takes FV as a single variable (say x), and then solve for x in the given equation by replacing FV with it. And at the final solution, replace again, this time the considered variable (x) with the original one (FV).