Which describes the system of equations below? y = –2x − 7 y = –2x + 1/7 Choices: (A)consistent and dependent (B)inconsistent (C)consistent and independent

Identify Slopes: We have the following system of equations: y = –2x − 7 y = –2x + 1/7 Identify whether the slopes of both the equations are the same. In y = –2x − 7, the slope is –2. In y = –2x + 1/7, the slope is –2. Yes, the slopes of both equations are the same.Identify Y-Intercepts: We have: y = –2x − 7 y = –2x + 1/7 Identify whether the y-intercepts of both the equations are the same. In y = –2x − 7, the y-intercept is –7. In y = –2x + 1/7, the y-intercept is 1/7. No, the y-intercepts of both equations are not the same.Choose Description: y = –2x − 7 y = –2x + 1/7 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 will never intersect. The system of equations is inconsistent.

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Which describes the system of equations below? $\newline$ $y = -2x - 7$ $\newline$ $y = -2x + \frac{1}{7}$ $\newline$ Choices: $\newline$ (A)consistent and dependent $\newline$ (B)inconsistent $\newline$ (C)consistent and independent

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Math Problems

Algebra 1

Classify a system of equations

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Q. Which describes the system of equations below?

\newline

y = -2x - 7

\newline

y = -2x + \frac{1}{7}

\newline

Choices:

\newline

(A)consistent and dependent

\newline

(B)inconsistent

\newline

(C)consistent and independent

Identify Slopes: We have the following system of equations: $\newline$ $y = -2x - 7$ $\newline$ $y = -2x + \frac{1}{7}$ $\newline$ Identify whether the slopes of both the equations are the same. $\newline$ In $y = -2x - 7$ , the slope is $-2$ . $\newline$ In $y = -2x + \frac{1}{7}$ , the slope is $-2$ . $\newline$ Yes, the slopes of both equations are the same.
Identify Y-Intercepts: We have: $\newline$ y = $-2x - 7$ $\newline$ y = $-2x + \frac{1}{7}$ $\newline$ Identify whether the y-intercepts of both the equations are the same. $\newline$ In $y = -2x - 7$ , the y-intercept is $-7$ . $\newline$ In $y = -2x + \frac{1}{7}$ , the y-intercept is $\frac{1}{7}$ . $\newline$ No, the y-intercepts of both equations are not the same.
Choose Description: $y = -2x - 7$ $\newline$ $y = -2x + \frac{1}{7}$ $\newline$ Choose the option which describes the given system of equations. $\newline$ Since the slopes are the same but the y-intercepts are different, the lines are parallel and will never intersect. $\newline$ The system of equations is inconsistent.