Solution and Equations ```Name: nancy Status: student Age: N/A Location: N/A Country: N/A Date: N/A ``` Question: ```The system x + y =1 has an infinite number of solutions, including (0,1) (1,0) and (2, -1). Explain why. 2x + 2Y = 2 The system y = 2x +1 has no solution. (That is to say, there is no ordered pair that satisfies both equations of the system) y = 2x =3 Explain why. ``` Replies: The system x+y=1 and 2x+2y=2 have an infinite number of solutions because, on a graph, they are the same line. They touch at an infinite number of points. The equations y=2x+1 and y=2x+3 are parallel lines on a graph. They do not touch at any point. The solution to a system of equations is a point that is shared by both graphs. The first system shares an infinite number of points. The second system shares none. Kenneth Mellendorf Click here to return to the Mathematics Archives

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