Taking into account the definition of a system of linear equations, you obtain that the solution is (4,-7) [attached graph]
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.
The graphic 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 said point satisfy both equations.
In this case, the system of equations is:
3x+y=5
x-4y=32
Graphing both equations you obtain that the solution is (4,-7) [attached graph]