Algebra Den

Variable as Coefficient of Variable

Before you go through this topice, you must know What are Constants and Varibles(both these topics are available in this site)

Variable as Coefficients of Variable :-
This situtation occurs when an algebraic expression contains a constant and two or more variables.
For example :- In an algebraic expression 45ab, we have :-
Variables = a, b and Constant = 45,
45a is the coefficient of variable b and......... (1)
45b is the coefficient of variable a...........(2)
So from (1) and (2), we can learn that A Coefficient can also have a Variable.

Following examples can further explain How a Coefficient of a variable can have a Variable -

Example 1 = Find the coefficient of variable x in an algebraic expression 4xy.
Answer = 4y is the coefficient of variable x and contains :-
Constant = 4 and Variable = y
So, a coefficient of variable x contains a variable y
Hence we can say that A Coefficient can also have a Variable.

Example 2 = Find the coefficient of variable p in an algebraic expression 26pq.
Answer = 26q is the coefficient of variable p and contains :-
Constant = 26 and Variable = q
So, a coefficient of variable p contains a variable q
Hence we can say that A Coefficient can also have a Variable.

Example 3 = Find the coefficient of variable b in an algebraic expression 100abc.
Answer = 26q is the coefficient of variable p and contains :-
Constant = 100 and Variables = a, c
So, a coefficient of variable b contains variables a and c
Hence we can say that A Coefficient can also have a Variable.