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Which describes the system of equations below?\newliney=−2x−3y = -2x - 3\newliney=−2x−3y = -2x - 3\newlineChoices:\newline(A)consistent and independent\newline(B)consistent and dependent\newline(C)inconsistent

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Q. Which describes the system of equations below?\newliney=−2x−3y = -2x - 3\newliney=−2x−3y = -2x - 3\newlineChoices:\newline(A)consistent and independent\newline(B)consistent and dependent\newline(C)inconsistent
  1. Analyze System Relationship: Analyze the given system of equations to determine their relationship.\newlineThe system of equations is:\newliney=−2x−3y = -2x - 3\newliney=−2x−3y = -2x - 3\newlineWe can see that both equations are identical. This means that every solution to the first equation is also a solution to the second equation. Therefore, the lines represented by these equations would coincide on a graph, and there are infinitely many solutions.
  2. Determine System Type: Determine the type of system based on the analysis.\newlineSince the two equations are identical, the system does not have a unique solution (which would make it independent), nor does it have no solution (which would make it inconsistent). Instead, it has infinitely many solutions, which means the system is dependent.

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