SAT Question 1e0a46e4: Systems of Linear Equations answer and explanation with Desmos solution

Choice D is correct. A system of linear equations can be solved by the elimination method. Multiplying the equation $-2x+3y=9$ by $2$ yields $-4x+6y=18$. Adding this equation to the equation $4x-6y=18$ yields $0=36$, which has no solution. It follows that the system of linear equations consisting of $-2x+3y=9$ and $4x-6y=18$ has no solution.