Standard Form of Two-Variable Linear Equation Pairs

A linear equation is a one-degree polynomial. It can have one or more than one variable in it. For example, 2x + 5, 5x + 10y …etc are some examples of linear equation. Sometimes some equations are not linear in nature by default, but they can be brought into the linear form. 

For example: 

The equation given above is not a linear equation, but it can be brought into a linear form with some rearrangements and algebraic methods. Let’s look at them in detail. 

Equations Reducible to Linear Form

Equations Reducible to Linear Form” refers to equations that can be transformed or rewritten into a linear equation. These equations typically involve variables raised to powers other than 1, such as squared terms, cubed terms, or higher. By applying suitable substitutions or transformations, these equations can be simplified into linear equations, making them easier to solve using standard linear algebra techniques.

Table of Content

  • Standard Form of Two-Variable Linear Equation Pairs
  • Equations Reducible to Linear Form
  • Determine the solution to the equation provided below:
    • Word Problems

Similar Reads

Standard Form of Two-Variable Linear Equation Pairs

A linear equation is a one-degree polynomial. It can have one or more than one variable in it. For example, 2x + 5, 5x + 10y …etc are some examples of linear equation. Sometimes some equations are not linear in nature by default, but they can be brought into the linear form....

Equations Reducible to Linear Form

Let’s look at this procedure with an example....

Determine the solution to the equation provided below:

Question 1: Reduce the following equation into the linear form....

Equations Reducible to Linear Form – FAQs

What are equations reducible to linear form?...