Equations Reducible to Linear Form

Let’s look at this procedure with an example. 

Suppose we take the equation given above . This is equation is not linear in nature however if we decide to substitute 

Then this equation becomes, 

7p + 3q = 2

Now the solutions to this equation can be find out with “p” and “q” and then later we can get the real solutions with the previous relation, 

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

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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?...