what is linear equation explain the variable coefficient terms variable terms and constant terms with suitable examples
Answers
An equation in which the highest power of the variable is one is called a linear equation
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Required Answer :
Linear Equation :
A linear equation is an algebraic equation with the highest power equal to one. A linear equation may contain both variables and constants.
Example : 5x + 4
Variable :
A variable is a symbol or an alphabet that can intake any value. Usually, the letters x, y and z are used as variables. The value of the equation changes every time the input value of the variable changes.
Example : 7y + 8x, here y and x are the variables.
Coefficient :
The numerical sign along with the sign preceding the variable of a term is known as coefficient.
Example: -5x
Here -5 is the coefficient of the variable x.
Terms :
Those parts of an expression separated by the mathematical operation of addition are known as terms.
Example: 7x + 4y - 5 -- In this expression the terms are 7x, 4y and -5 are the terms.
Variable terms :
Those terms that contain variables only are known as variable terms.
Example: x + 5 -- here x is a variable term of the expression.
Constant terms :
Those terms in an expression that contain only numerical values and no variables are known as constant terms.
Example: 6x + 5y + 6
Here 6 is the constant term that does not contain any variables.