# Define independent and dependent variables

In a typical algebraic expression, there are two variables: an independent variable and a dependent variable. The independent variable is the number or the value that can change. The dependent variable's value depends on the value of the independent variable.

For example, in the following formula, X=Y*5

Y is the independent variable. The variable Y can equal any real number. The dependent variable is X because the value of X depends on the value of Y.

Replacing these variables with real numbers explains the concept further. If Y is given the value of 6, according to the formula, X=6*5, or X=30 X cannot be replaced with any number if the value of Y is 5.

Without having any values for the numbers, it is possible to determine the independent and dependent variables. Lets take the formula 10=Y*X. First, we would try to isolate one variable, by dividing each side by Y. Therefore we would get 10/Y=X. The independent variable ends up being, in this equation, Y, because the value of X depends on what 10/Y equals.

Could you confirm the caluations & theory - thanks much!!

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#### Solution Preview

Here the question is how to define Independent and Dependent variables.

You are almost right :)

Normally, we will consider x as independent variable and y as dependent variable in functions.

I hope that you will familiar with functions. Anyhow, Let me explain it to you with an example,

Take a function f(x)= 2x+3 , Here f(x) is nothing but y (dependent variable) . That is f(x)=y

We will read f(x) as function of x.

So, y= ...

#### Solution Summary

How to find the independent and dependent variables from the given situation.