Determine whether the point (2, 0) is a solution to the system of equations. explain your reasoning in complete sentences.

When trying to solve a system of equations graphically, our focus is on identifying the coordinates of any point through which the graphs go. Look at the above graph: you'll see that the red and the blue graphs intersect at (0,2), and so (0,2) is a "solution" of that system of equations.

Here, we're asked to answer a different kind of question: "Is (2,0) a solution to the given system of equations?" Let's paraphrase that question: "Do both graphs go through (2,0)?" The emphatically not. Neither graph goes through (2,0). Thus, (2,0) is not a solution to this system of equations.

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