Question

a = FV - OV/T for OV

Answer 1

we have that

$A = FV - OV/T$

solve for OV

Multiply both sides by T

$A*T =T* FV - T*(OV/T)$

$A*T =T* FV - OV$

Add OV to both sides

$OV+ A*T =T* FV - OV +OV$

$OV+ A*T =T* FV$

Substract A*T both sides

$OV+ A*T-A*T =T* FV-A*T$

$OV=T* FV-A*T$

simplify

$OV=T*( FV-A)$

therefore

the answer is

$OV=T*( FV-A)$

Answer 2

Solve for OV = T(FV-a)

Further explanation

Sentences that have the same relationship are called equations

Linear equations are open sentences that have the same relationship with a variable and the exponent number is one

One variable linear equation is an equation that has a variable and the exponent number is one. Can be stated in the form:

ax = b or ax + b = c,

where

a, b, and c are constants, x is a variable

Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one

Can be stated in the form:

 ax + by = c

x, y = variable

The solution of linear equations can be done by:

• 1. substitution, elimination
• 2. increase or decrease both segments with the same number
• 3. multiplying or dividing two segments with equal numbers
• 4. graph

In the task, it's known linear equations :

a = FV - OV/T

We will solve it using methods 2 and 3

• methode 3

multiplying the two segments by T, so it is expected that no fractions on both side :

aT= FVT - OV

• methode 2

we add both side with OV

aT + OV = FVT

we move aT to the right side, then we get OV

OV = FVT - aT

OV = T(FV-a)

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Keywords : one variable, linear equation, two variable, constants, y variable, x variable,exponent