A **system of equations** is made up of 2 or more equations that we have to find a common solution. The solution of a system of equations is called the common solution of the equations. In other words, the solution of a system is the point where the recipes are cut:

The three methods to solve systems of equations:

- Substitution method.
- Elimination method.
- Equalization method.

## Methods for solving systems of equations

### Substitution method

In the **substitution method**, one unknown is solved in one of the equations and it is substituted in the other, obtaining an equation of one unknown. Their solution is substituted in the other equation.

### Elimination method

In the **elimination method** the two equations are prepared so that one of the unknowns has the same coefficient in both. By subtracting or adding them, an equation is obtained without that unknown.

### Equalization method

In the **equalization method**, the same unknown is solved in the two equations and the results are equaled to obtain an equation with one unknown.

## Exercises of system of equations

**1. Find out the unknowns using the substitution method:**

## Ejercicios de sistemas de ecuaciones

**2. Find the values of x and y using the equalization method:**

## Ejercicios de sistemas de ecuaciones

**3. Apply the reduction method and solve the system:**

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