From the question
We are to find the solution of the equations
![y=-2x+6,y=3x+1](https://img.qammunity.org/2023/formulas/mathematics/college/5adjn29cs3iy1yw24dpn8abhkx302gntfy.png)
The solution to the system of equation is the point of intersection of the two lines in the graph
From the graph, the lines intersect at
![(1,4)](https://img.qammunity.org/2023/formulas/mathematics/college/axvll3h4fjrhsl7mfaiq8d87l718nk78su.png)
Hence the solution of the system of equations is (1, 4)
Therefore, the correct option is C