# LINEAR EQUATIONS: HOW TO QUICKLY SOLVE THEM

**Linear Equations Fast Math Style** – A Linear equation is an **algebraic equation** with a set of variables that are related to each other. It usually expressed as Ax + By = C where A, B and C are numerical values. However, you will commonly find them also expressed as y=mx+c in most texts where x and y are variables while c is the y intercept and m the slope. Many students wonder where and how linear equations is applied, however, it is important to basically understand that they are used to explain situation in cases where the rate of change is not a constant. Let us look at how to quickly and easily Solve Linear Equations.

**Fast Math Guide – How to quickly and easily solve linear equations correctly**

There are various method that are used to solve linear equations e.g, substitution, graphical, and elimination method. However, these method can take allot of time when solving for the variables in the linear equation. Consider the following two basic tricks, which will not only save you time, but also always give you correct answers.

1: For linear equations with additional and subtraction signs, reverse the signs. This means that you will have to replace +ve sign with -ve sign and vice versa in the linear equation. To understand this, consider the following linear equation x-4 =10. This will be re-written as -x+4=-10 and still give you the same answer.

How can I prove if the answer is right? To determine if your calculations are right, replace the variable with the final answer. Going back in our first example above replacing variable x with 14 will be written as (14) -4 = 10 . This will finally give us 10=10 proving that our answers are correct.

Apart form the above mentioned overview on how to solve linear equations, it is important to understand that there are methods used to solve linear equation. To use them, you have to understand the basics, however, you can always prove if you are right irrespective of the method used by replacing the variable with the final answer. If both sides of the equal sign are equal, then you are correct.

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