Which describes the system of equations below? y = 4x − 2 y = 4x − 2 Choices: (A)consistent and independent (B)inconsistent (C)consistent and dependent

Analyze Equations: Analyze the given system of equations to determine if they are the same or different. We have: y = 4x - 2 y = 4x - 2 Check if the slopes and y-intercepts of both equations are the same. For the first equation, the slope is 4 and the y-intercept is -2. For the second equation, the slope is also 4 and the y-intercept is also -2. Since both the slope and y-intercept are the same for both equations, they represent the same line.Determine System Type: Determine the type of system based on the analysis from Step 1. Since both equations represent the same line, every solution to one equation is also a solution to the other. This means that there are infinitely many solutions, and the system is consistent because at least one solution exists. It is also dependent because the equations are essentially the same, and thus, they depend on each other for all solutions.

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Which describes the system of equations below? $\newline$ $y = 4x - 2$ $\newline$ $y = 4x - 2$ $\newline$ Choices: $\newline$ (A)consistent and independent $\newline$ (B)inconsistent $\newline$ (C)consistent and dependent

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Algebra 1

Classify a system of equations

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Q. Which describes the system of equations below?

\newline

y = 4x - 2

\newline

y = 4x - 2

\newline

Choices:

\newline

(A)consistent and independent

\newline

(B)inconsistent

\newline

(C)consistent and dependent

Analyze Equations: Analyze the given system of equations to determine if they are the same or different. $\newline$ We have: $\newline$ $y = 4x - 2$ $\newline$ $y = 4x - 2$ $\newline$ Check if the slopes and y-intercepts of both equations are the same. $\newline$ For the first equation, the slope is $4$ and the y-intercept is $-2$ . $\newline$ For the second equation, the slope is also $4$ and the y-intercept is also $-2$ . $\newline$ Since both the slope and y-intercept are the same for both equations, they represent the same line.
Determine System Type: Determine the type of system based on the analysis from Step $1$ . $\newline$ Since both equations represent the same line, every solution to one equation is also a solution to the other. This means that there are infinitely many solutions, and the system is consistent because at least one solution exists. It is also dependent because the equations are essentially the same, and thus, they depend on each other for all solutions.