SAT Question 5f10c095: Nonlinear Equations In One Variable And Systems Of Equations In Two Variables answer and explanation with Desmos solution

Choice A is correct. The solutions to the system correspond to the points where the graphs of the equations intersect. The graphs of the linear equation and the quadratic equation shown intersect at approximately $(4,7.2)$ and $(6,7.2)$. It follows that the possible values of $x$ are $4$ and $6$. Of these two possible values, only $4$ is given as a choice.