The system of equations to be solved is
[tex]\begin{cases}y=-3x+6 \\ y=2x-4\end{cases}[/tex]Substitute the first equation into the second one as shown below
[tex]\begin{gathered} y=-3x+6 \\ \Rightarrow-3x+6=2x-4 \\ \Rightarrow-5x=-10 \\ \Rightarrow x=-\frac{10}{-5}=2 \\ \Rightarrow x=2 \end{gathered}[/tex]Therefore,
[tex]\begin{gathered} \Rightarrow y=-3(2)+6=-6+6=0 \\ \Rightarrow y=0 \end{gathered}[/tex]Thus, the solution to the system is (x,y)=(2,0)
