A = FV - OV/T for OV
2 answers:
Starting with the equation:
Isolate OV.
Eliminate the denominator by multiplying every term by T
Now move OV to the right-hand side by adding it to both sides
Subtract A*T from both sides
Simplify the expression
Hence,
Thus the solution is
Isolate OV to obtain OV = T(FV - a)
Additional explanation
Statements that assert two expressions are equal are referred to as equations
Linear equations are open statements involving variables in which each variable appears with an exponent of one
A single-variable linear equation contains one variable raised to the first power and can be expressed as:
ax = b or ax + b = c,
in which
a, b, and c are constants, and x represents the variable
By contrast, a two-variable linear equation includes two variables, both to the first power
It can be written in the form:
ax + by = c
x and y are variables
Common methods for solving linear equations
- 1. substitution and elimination
- 2. adding or subtracting the same quantity to both sides
- 3. multiplying or dividing both sides by the same nonzero number
- 4. using a graph
For this problem, the given linear relation is:
a = FV - OV/T
We will apply techniques 2 and 3 from the list above
- method 3
Multiply both sides of the equation by T to remove the fraction:
aT= FVT - OV
- method 2
Add OV to both sides:
aT + OV = FVT
Then isolate OV by relocating aT to the opposite side.
OV = FVT - aT
OV = T(FV-a)
Read further
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Keywords: one variable, linear equation, two-variable, constants, x variable, y variable, exponent
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