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How many solutions does the system of equations below have?\newliney=−4x+2y = -4x + 2\newliney=−4x+2y = -4x + 2\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=−4x+2y = -4x + 2\newliney=−4x+2y = -4x + 2\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions
  1. Analyze Equations: Analyze the given system of equations.\newlineWe are given two equations:\newliney=−4x+2y = -4x + 2\newliney=−4x+2y = -4x + 2\newlineWe notice that both equations are identical. This means that every solution to the first equation is also a solution to the second equation.
  2. Identify Solutions: Determine the number of solutions for identical equations.\newlineSince the two equations are the same, their graphs would be the same line. Therefore, any point that lies on this line is a solution to both equations. This implies that there are infinitely many points that satisfy both equations.

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