Question

Plz help me with this

Answer 1

`(x,y) = (-1,-2.5)`

Explanation:

Let be
`f(x) = ((x+3)^(2))/(x-2)` and
`g(x) = \left|(x)/(2)\right| -3`, 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
`f(x) = g(x)`. 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
`(x,y) = (-1,-2.5)`.