We will solve as follows:
*Since in both equations is solved for y, then we equal them and solve first for x:
[tex]4x-9=6x-15\Rightarrow2x=6\Rightarrow x=3[/tex]Now, we replace x in one of the equations to solve for y:
[tex]y=4(3)-9\Rightarrow y=3[/tex]So, the solution for the system is the point (3, 3). It can be clearly seen in the following graph: