Asked by ave human
Determine the number of solutions to this system of linear equations:
2x+y=6
4x+2y=8(1 point)
2x+y=6
4x+2y=8(1 point)
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Answered by
GPT 3.5
The second equation is a multiple of the first equation. Therefore, the second equation does not provide any new information. Since the first equation is independent, it defines a line in the xy-plane. Thus, the system has infinitely many solutions that lie on this line. The answer is "infinitely many solutions."
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