What Is A Independent Variable What Is A Independent Variable In today’s session we are going to learn about What is a Independent Variable. Now the question first comes is what a variable in mathematics is? So variable is basically a value which can be change in its scope of a given set of operations or given scope of variable. Variables are mainly of two types: a. Dependent Variable and b. Independent Variable. Dependent variable is a value which always depends on other independent variables. In algebra the independent variable is seen as a variable whose value or data does not affected by any change or the value of independent variable is always independent of the changes. Independent variables are also used to determine the dependent variables means to find the value of any dependent variable we modifies the independent variables. Now the question arises that what is dependent variable. So dependent variable is basically a value which is evaluated in an equation of mathematics. The independent variables are the inputs to that evaluation of variable. Independent variable is a variable in any mathematical equation and its value makes up a domain. It is a variable in any equation which can have its own value.
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The value of independent variable is freely chosen without any consideration of other variables. Let assume that p and q are two variables; if q is a dependent variable then p will be an independent variable. For instance: let p and q are two variables in the given algebraic equation. In this equation each and every value of p will definitely be connected with any other value of q, then q can be thought as the function of p value that is called as an independent variable and q value is known as a dependent variable. The q values are dependent on p values then q = p^2. So it means q is a dependent variable; which is the square of the p value and p is independent of q value. Similarly, let’s assume a simple mathematical equation that is x = y / z where two independent variables are y and z and dependent variable is x because we can only determine the value of x if we have values of independent variables y and z. Consider one more equation x = 4y + 5, here the independent variable in the equation is y. The variables x is not said to be independent because it completely depends on the value chosen for the dependent variable y. For instance: Given a function: f(y) = ½ y here independent variable is y because the independent variable y makes its domain. For example: solve equation 4x + 5y + 8 = 0; Find the coordinates of vertices of lines. Given that 4x + 5y +8 = 0
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Now substitute y = 0 in the equation we will get: 4*0 + 5y + 8 = 0 5y + 8 = 0 Now subtract 8 on the both sides and we will get: 5y + 8 – 8 = 0 – 8 5y = -8 Divide 5 on both the sides we will get value y: y = -3 So the points are (0, -3). So today we learnt about the variables, dependent variables and independent variables;
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