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How many solutions does the system of equations below have?\newliney=−x−2y = -x - 2\newliney=−x−2y = -x - 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=−x−2y = -x - 2\newliney=−x−2y = -x - 2\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions
  1. Analyze Equations Given: Analyze the equations given in the problem. Both equations are y=−x−2y = -x - 2.
  2. Identical Equations: Since both equations are identical, every point that lies on the first line also lies on the second line. This means every solution to the first equation is also a solution to the second equation.
  3. Infinite Solutions: Therefore, the system of equations does not have just one solution or no solution, but every point on the line y=−x−2y = -x - 2 is a solution. This indicates that there are infinitely many solutions.

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