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How many solutions does the system of equations below have?\newliney=25x9y = -\frac{2}{5}x - 9\newliney=25x9y = -\frac{2}{5}x - 9\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions

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Q. How many solutions does the system of equations below have?\newliney=25x9y = -\frac{2}{5}x - 9\newliney=25x9y = -\frac{2}{5}x - 9\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions
  1. Analyze Equations: Analyze the given system of equations.\newlineThe system of equations is:\newliney=25x9y = \frac{-2}{5}x - 9\newliney=25x9y = \frac{-2}{5}x - 9\newlineWe notice that both equations are identical.
  2. Identify Solutions: Determine the number of solutions for identical equations.\newlineSince both equations are the same, every point on the line y=25x9y = -\frac{2}{5}x - 9 is a solution to the system. Therefore, there are infinitely many points that satisfy both equations simultaneously.

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