Which describes the system of equations below? y = 7/5x + 3/4 y = 7/5x + 3/4 Choices: (A)inconsistent (B)consistent and independent (C)consistent and dependent

Analyze System of Equations: Analyze the given system of equations. The system of equations is: y = 7/5x + 3/4 y = 7/5x + 3/4 We notice that both equations are identical.Determine Nature of System: Determine the nature of the system. Since both equations are the same, every solution to the first equation is also a solution to the second equation. This means that there are infinitely many solutions, and the lines represented by these equations would lie on top of each other on a graph.Classify Based on Solutions: Classify the system based on the number of solutions. A system of equations that has infinitely many solutions is called ＂consistent and dependent＂ because the equations depend on each other to have the same graph.

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Which describes the system of equations below? $\newline$ $y = \frac{7}{5}x + \frac{3}{4}$ $\newline$ $y = \frac{7}{5}x + \frac{3}{4}$ $\newline$ Choices: $\newline$ (A) inconsistent $\newline$ (B) consistent and independent $\newline$ (C) consistent and dependent

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Math Problems

Grade 8

Classify a system of equations

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Q. Which describes the system of equations below?

\newline

y = \frac{7}{5}x + \frac{3}{4}

\newline

y = \frac{7}{5}x + \frac{3}{4}

\newline

Choices:

\newline

(A) inconsistent

\newline

(B) consistent and independent

\newline

Analyze System of Equations: Analyze the given system of equations. $\newline$ The system of equations is: $\newline$ $y = \frac{7}{5}x + \frac{3}{4}$ $\newline$ $y = \frac{7}{5}x + \frac{3}{4}$ $\newline$ We notice that both equations are identical.
Determine Nature of System: Determine the nature of the system. $\newline$ Since both equations are the same, every solution to the first equation is also a solution to the second equation. This means that there are infinitely many solutions, and the lines represented by these equations would lie on top of each other on a graph.
Classify Based on Solutions: Classify the system based on the number of solutions. A system of equations that has infinitely many solutions is called ＂consistent and dependent＂ because the equations depend on each other to have the same graph.