Answer:
[tex](x,y) = (-1,-2.5)[/tex]
Step-by-step explanation:
Let be [tex]f(x) = \frac{(x+3)^{2}}{x-2}[/tex] and [tex]g(x) = \left|\frac{x}{2}\right| -3[/tex], we plot each curve with the help of graphic tool. In this case, we use Desmos and outcome is presented in the image attached below. Mathematically speaking, a solution to the system of equation exists when [tex]f(x) = g(x)[/tex]. Graphically speaking, it means that a solution exists when both curves pass through each other.
According to the graphic tool, we conclude that the only solution to the system of equations is [tex](x,y) = (-1,-2.5)[/tex].
