Question

is 4m+5n linear equation in two variables​

Answer 1

4m + 5n can never be classified as a linear equation with two variables.

Step-by-step explanation

An algebraic equation that consists of two different variables is generally termed as linear equation with two variables. For example,$\:$

⠀⠀⠀⠀⠀↝ 3y + 7x = 28

⠀⠀⠀⠀⠀↝ 4a = 2 – 3b

In the question, it is clearly stated that we have to find whether [[ 4m + 5n ]] is a linear equation with two variables. And the answer is obviously a big "NO".

★ Why is it so?

An equation is defined as the statement of equality of two algebraic expressions involving a variable. But, 4m + 5n isn't an equation, actually. It doesn't carry an equality sign (=). It's just an algebraic expression that has two variables in it. Hence, 4m + 5n is not a linear equation with two variables.

Here are a few useful definitions for a few related terms.

⑴ Variable · A symbol which takes various values is known as a variable. Normally, it is denoted by letters of English alphabets.

⑵ Constant · A symbol having a definite numerical value is called as a constant.

⑶ Coefficient · In a product of a variable and a constant, each is called the coefficient of the other.

⑷ Expression · An expression is a combination of constants, variables and coefficients by mathematical operations.

⑸ Degree · The highest power of a variable in an equation is called its degree.

⑹ Inequation · A mathematical statement that has any one of the symbols >, <, ≥ and ≤ is called an inequation.