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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