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How many solutions does the system of equations below have?\newliney=x5y = -x - 5\newliney=x5y = -x - 5\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=x5y = -x - 5\newliney=x5y = -x - 5\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions
  1. Analyze System of Equations: Analyze the given system of equations.\newlineThe system of equations is:\newliney=x5y = -x - 5\newliney=x5y = -x - 5\newlineThese two equations are identical, meaning every solution to the first equation is also a solution to the second equation.
  2. Determine Number of Solutions: Determine the number of solutions for the system.\newlineSince both equations are the same, every point on the line y=x5y = -x - 5 is a solution to the system. Therefore, there are infinitely many points that satisfy both equations.

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