Given the following system of equations:
[tex]\begin{cases}y=3x-2 \\ y=-2x+3\end{cases}[/tex]if we equate both equations we get:
[tex]3x-2=-2x+3[/tex]then, if we solve for x, we get the following:
[tex]\begin{gathered} 3x-2=-2x+3 \\ \Rightarrow3x+2x=3+2 \\ \Rightarrow5x=5 \\ x=1 \end{gathered}[/tex]since we have that x = 1, this means that the system has one solution
