Taking into account the definition of a system of linear equations,
System of linear equations
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.
This case
In this case, the system of equations to be solved is
[tex]\left \{ {{y=3x-5} \atop {y=\frac{1}{3} x+3}} \right.[/tex]
There are several methods to solve a system of equations. The graphical method consists of representing the graphs associated with the equations of the system. The solution of the system is the point of intersection between the graphs because the coordinates of that point satisfy both equations.
In this case, graphing it can be seen that the intersection between both equations is the point (3,4). Therefore, the system of equations has as solution the point (3,4).
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