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Which describes the system of equations below?\newliney=4x+74y = 4x + \frac{7}{4}\newliney=4x+74y = 4x + \frac{7}{4}\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=4x+74y = 4x + \frac{7}{4}\newliney=4x+74y = 4x + \frac{7}{4}\newlineChoices:\newline(A)consistent and independent\newline(B)inconsistent\newline(C)consistent and dependent
  1. Given Equations: We are given two equations:\newliney=4x+74y = 4x + \frac{7}{4}\newliney=4x+74y = 4x + \frac{7}{4}\newlineWe need to determine the relationship between these two equations to classify the system.
  2. Relationship Determination: Since both equations are identical, every solution to the first equation is also a solution to the second equation. This means that the lines represented by these equations would lie on top of each other on a graph.
  3. Classification of System: A system of equations where the two equations represent the same line has an infinite number of solutions because the lines coincide. This type of system is known as consistent and dependent.

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