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Which describes the system of equations below?\newliney=−5x+7y = -5x + 7\newliney=−5x+7y = -5x + 7\newlineChoices:\newline(A)consistent and independent\newline(B)inconsistent\newline(C)consistent and dependent

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Q. Which describes the system of equations below?\newliney=−5x+7y = -5x + 7\newliney=−5x+7y = -5x + 7\newlineChoices:\newline(A)consistent and independent\newline(B)inconsistent\newline(C)consistent and dependent
  1. Analyze Equations: Step 11: Analyze the given system of equations.\newliney=−5x+7y = -5x + 7\newliney=−5x+7y = -5x + 7\newlineBoth equations are identical, meaning every solution that works for one equation will work for the other.
  2. Determine System Type: Step 22: Determine the type of system.\newlineSince both equations are the same, they have infinitely many solutions where the lines overlap completely. This indicates that the system is consistent because there are solutions, and dependent because the equations represent the same line.

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