Independent Variable Definition
Independent Variable Definition
Variables are very important in mathematics and also plays vary important role in solving the
various equations, expressions and functions.
There are various letters present in the equations, expressions and also in functions like a, h,
x, g, etc these letters are cal ed variables.
Now in equations we don't know the value of variables so we assume the value of some
variable to get the value of other variable and variable used in theorems to prove them.
Variables are sub divided into two types
1. Dependent variables.
2. Independent variables.
Now those variables are cal ed independent for which we assume the value and after assume
the value we come to know the value of other variable and this variable is cal ed dependent
variable.
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Suppose we have an equation m = n + 2e so in this equation we saw that first we assume the
value of n and e to get the value of m so m is depend on n and e so m is dependent variable
and n and e are independent variable as their values are independent.
Now we are going to explore the Independent Variable Definition
Independent variables are those variables whose value does not depend on other variable in
other words independent variables are those variables for which we assume the value and it
remains same during whole solution and by assuming the value for independent variable we
get the value of dependent variable.
Suppose we have an equation d = f + 2e so in this equation f and e are independent variables
and d is dependent variable, now if we assume the values for independent variables then we
come to know the value of dependent variable. Example are given below
1. j = b + 6 , in this equation as we see that b is independent variable and j is dependent
variable as its value depend on b value.
2. f = 2j - 2 , in this equation j is independent variable as its value stands alone not depend on
any other variable but f is dependent variable as its value depend on j value.
Learn More :- Partial Fractions


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Now as we saw in above example the value of dependent variable is not constant because
whenever value of independent variable changes then there is change in value of dependent
variable but when we assume the value of independent variable is remains constant and does
not change during the process of equation.
so we take an equation f = 12 + r, in this equation it is clear that r is independent variable and f
is dependent variable but if we assume he value of r is 6 then it remains same during whole
process and by putting the value of r in equation we get the value of f that is 18 so it shows
that value of f depends on value of r so f is dependent variable.


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