System of equations

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:

system of equations

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.

substitution method

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.

elimination method

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.

equalization method

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:

Ejercicios de sistemas de ecuaciones

0 Comments
Submit a Comment

Your email address will not be published.

Quizás te interesa

Factors of 36

The number 36 has 9 factors and is a composite number. To calculate the factors of 36 we divide,...

Factors of 35

The number 35 has 4 factors and is a composite number. To calculate the factors of 35 we divide,...

Factors of 34

The number 4 has 4 factors and is a composite number. To calculate the factors of 34 we divide,...

Factors of 33

The number 33 has 4 factors and is a composiite number. To calculate the factors of 33 we divide,...

Factors of 32

The number 32 has 6 factors and is a composite number. To calculate the factors of 32 we divide,...

Factors of 31

The number 31 has 2 factors and is a prime number. To calculate the factors of 31 we divide,...

Factors of 30

The number 30 has 8 factors and is a composite number. To calculate the factors of 30 we divide,...

Factors of 29

The number 29 has 2 factors and is a prime number. To calculate the factors of 29 we divide,...

Factors of 28

The number 28 has 5 factors and is a composite number. To calculate the factors of 28 we divide,...

Factors of 27

The number 27 has 4 factors and is a composite number. To calculate the factors of 27 we divide,...