SAT Question fc2ec559: Nonlinear Equations In One Variable And Systems Of Equations In Two Variables answer and explanation with Desmos solution

Choice B is correct. The point $(x,y)$ at which the graphs of the given equations intersect is the solution to the system of equations. Subtracting $5$ from both sides of the equation $x+5=14$ yields $x=9$. Substituting $9$ for $x$ in the equation $y=4x^2+4$ yields $y=4(9{)}^2+4$, or $y=328$. Therefore, the graphs of the equations in the given system intersect at the point $(9,328)$.