# System of Linear Equation

Systems of linear equations can also be solved graphically. Each of the linear equation can be represented by a line. To solve a system graphically, we begin by solving each of the equations in order to y. Then we can graph them together on the same axis system. If there is an Intersection Point, then it is the solution to the problem.

Created with GeoGebra by Vitor Nunes

### Interactivity

In this exercise, we have the following system: {(y = 0.5x + 0.5),(y = -x+2):} whose solution is (1,1).

Move the values of m_1, b_1, m_2 e b_2 to obtain other equations. Solve the system by the substitution method and compares it with the solution found graphically.

## Linear System

In mathematics, a linear system is a collection of two or more linear equations involving the same set of variables. A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously satisfied. A linear system in three variables determines a collection of planes. The intersection point of all planes is the solution.