Answer:
[tex]\left \{ {{x=2} \atop {y=2}} \right.[/tex]
Step-by-step explanation:
[tex]\left \{ {{y=\frac{3}{2} x-1} \atop {y=-x+4}} \right. \\ \Leftrightarrow \left \{ {{-x+4=\frac{3}{2} x-1} \atop {y=-x+4}} \right. \\ \Leftrightarrow \left \{ {{\frac{5}{2}x=5} \atop {y=-x+4}} \right.\\ \Leftrightarrow \left \{ {{x=2} \atop {y=-2+4}} \right.\\ \Leftrightarrow \left \{ {{x=2} \atop {y=2}} \right.[/tex]