Which describes the system of equations below? y = –x − 4 y = –x + 1/6 Choices: (A)consistent and independent (B)inconsistent (C)consistent and dependent

Identify Slopes: We have the following system of equations: y = –x − 4 y = –x + 1/6 Identify whether the slopes of both the equations are the same. In y = –x − 4, the slope is -1. In y = –x + 1/6, the slope is also -1. Yes, the slopes of both equations are the same.Identify Y-Intercepts: We have: y = –x − 4 y = –x + 1/6 Identify whether the y-intercepts of both the equations are the same. In y = –x − 4, the y-intercept is -4. In y = –x + 1/6, the y-intercept is 1/6. No, the y-intercepts of both equations are not the same.Choose Option: y = –x − 4 y = –x + 1/6 Choose the option which describes the given system of equations. Since the slopes are the same but the y-intercepts are different, the lines are parallel and never intersect. The system of equations is inconsistent because there is no point that satisfies both equations simultaneously.

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Which describes the system of equations below? $\newline$ $y = -x - 4$ $\newline$ $y = -x + \frac{1}{6}$ $\newline$ 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 = -x - 4

\newline

y = -x + \frac{1}{6}

\newline

Choices:

\newline

(A)consistent and independent

\newline

(B)inconsistent

\newline

(C)consistent and dependent

Identify Slopes: We have the following system of equations: $\newline$ $y = -x - 4$ $\newline$ $y = -x + \frac{1}{6}$ $\newline$ Identify whether the slopes of both the equations are the same. $\newline$ In $y = -x - 4$ , the slope is $-1$ . $\newline$ In $y = -x + \frac{1}{6}$ , the slope is also $-1$ . $\newline$ Yes, the slopes of both equations are the same.
Identify Y-Intercepts: We have: $\newline$ y = $-x - 4$ $\newline$ y = $-x + \frac{1}{6}$ $\newline$ Identify whether the y-intercepts of both the equations are the same. $\newline$ In $y = -x - 4$ , the y-intercept is $-4$ . $\newline$ In $y = -x + \frac{1}{6}$ , the y-intercept is $\frac{1}{6}$ . $\newline$ No, the y-intercepts of both equations are not the same.
Choose Option: $y = -x - 4$ $y = -x + \frac{1}{6}$ Choose the option which describes the given system of equations.Since the slopes are the same but the y-intercepts are different, the lines are parallel and never intersect.The system of equations is inconsistent because there is no point that satisfies both equations simultaneously.