Which describes the system of equations below? y = x + 2 y = x − 9/7 Choices: (A)consistent and dependent (B)consistent and independent (C)inconsistent

Analyze System Characteristics: Analyze the given system of equations to determine its characteristics. The system of equations is: y = x + 2 y = x - 9/7 To determine if the system is consistent and dependent, consistent and independent, or inconsistent, we need to compare the slopes and y-intercepts of the two equations.Identify Slope and Y-Intercept: Identify the slope and y-intercept of each equation. For the first equation, y = x + 2, the slope (m) is 1 and the y-intercept (b) is 2. For the second equation, y = x - 9/7, the slope (m) is also 1 and the y-intercept (b) is -9/7.Compare Equations: Compare the slopes and y-intercepts of the two equations. Since both equations have the same slope but different y-intercepts, this means that the lines are parallel and will never intersect.Determine System Type: Determine the type of system based on the comparison. Because the lines are parallel and do not intersect, the system of equations is inconsistent. There is no point that satisfies both equations simultaneously.

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Which describes the system of equations below? $\newline$ $y = x + 2$ $\newline$ $y = x - \frac{9}{7}$ $\newline$ Choices: $\newline$ (A)consistent and dependent $\newline$ (B)consistent and independent $\newline$ (C)inconsistent

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Q. Which describes the system of equations below?

\newline

y = x + 2

\newline

y = x - \frac{9}{7}

\newline

Choices:

\newline

(A)consistent and dependent

\newline

(B)consistent and independent

\newline

(C)inconsistent

Analyze System Characteristics: Analyze the given system of equations to determine its characteristics. $\newline$ The system of equations is: $\newline$ $y = x + 2$ $\newline$ $y = x - \frac{9}{7}$ $\newline$ To determine if the system is consistent and dependent, consistent and independent, or inconsistent, we need to compare the slopes and $y$ -intercepts of the two equations.
Identify Slope and Y-Intercept: Identify the slope and y-intercept of each equation. $\newline$ For the first equation, $y = x + 2$ , the slope $(m)$ is $1$ and the y-intercept $(b)$ is $2$ . $\newline$ For the second equation, $y = x - \frac{9}{7}$ , the slope $(m)$ is also $1$ and the y-intercept $(b)$ is $-\frac{9}{7}$ .
Compare Equations: Compare the slopes and $y$ -intercepts of the two equations. $\newline$ Since both equations have the same slope but different $y$ -intercepts, this means that the lines are parallel and will never intersect.
Determine System Type: Determine the type of system based on the comparison. $\newline$ Because the lines are parallel and do not intersect, the system of equations is inconsistent. There is no point that satisfies both equations simultaneously.