Verified Answer :
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
\(OV=T*( FV-A)\)
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