Systems of two linear equations in two variables SAT question

Choice B is correct. A solution to a system of equations in the xy-plane is a point $(x,y)$ that lies on the graph of each equation in the system. The first equation given is $x=5$. Substituting $5$ for $x$ in the second given equation yields $y=5-8$, or $y=-3$. It follows that in the xy-plane, the point $(5,-3)$ lies on the graph of each equation in the system. Therefore, the solution to the given system of equations in the xy-plane is $(5,-3)$.

Choice A is incorrect. The point $(0,0)$ doesn't lie on the graph of either equation in the given system.

Choice C is incorrect. The point $(5,-8)$ doesn't lie on the graph of the second equation in the given system.

Choice D is incorrect. The point $(5,8)$ doesn't lie on the graph of the second equation in the given system.