SAT Question 494d247d: Nonlinear Equations In One Variable And Systems Of Equations In Two Variables answer and explanation with Desmos solution

Choice C is correct. The solution to a system of two equations corresponds to the point where the graphs of the equations intersect. The graphs of the linear function and the absolute value function shown intersect at a point with an x-coordinate between $-4$ and $-3$ and a y-coordinate between $4$ and $5$. Of the given choices, only $\left(-\frac{7}{2},\frac{9}{2}\right)$ has an x-coordinate between $-4$ and $-3$ and a y-coordinate between $4$ and $5$.