## The four Ways of solving of equations!!!

In the mathematical world... there are FOUR ways of solving equations: Substitution, Elimination, Graphing, and Matrices. Each way is used in different scenarios to make it simpler to solve. For example, if you had a coordinate system, you would use graphing to solve the equation. And if you had opposite valued variables, you would use elimination to solve the equation.

## Substitution

In algebra, the operation of substitution can be applied in various contexts involving formal objects containing symbols, usually called variables, the operation consists of systematically replacing occurrences of some symbol by a given value.

A common case of substitution involves polynomials, where substitution of a numerical value for the indeterminate of a polynomial amounts to evaluating the polynomial at that value.

A common case of substitution involves polynomials, where substitution of a numerical value for the indeterminate of a polynomial amounts to evaluating the polynomial at that value.

## Elimination

The Elimination Method is the process of eliminating one of the variables in a system of equations using addition or subtraction in conjunction with multiplication or division and solving the system of equations. It is most often used when two variables are direct opposites of each other.

## Graphing

In algebra, another way to solve equations by graphing. Equations can be in three types of form, Slope-Intercept Form, Point-Slope Form, and Standard Form. It is usually most easy to graph equations when they are in Slope-Intercept Form. The solution of the two or more equations is the intercept of all the lines. The answer is usually expressed in a coordinate.

## Matrices

The last way to solve a system of equations is by using matrices, usually the least used way to solve equations. When solving equations using matrices, the amount value of the variables are used and the y-intercept. They are put together in a matrix, and then combined with another matrix, and the new numbers in the box, is you solution.