Which describes the system of equations below? y = –3x + 8/3 y = –3x + 9/2 Choices: (A)consistent and independent (B)consistent and dependent (C)inconsistent

Identify Slopes: We have the following system of equations: y = –3x + 8/3 y = –3x + 9/2 Identify whether the slopes of both the equations are the same. In y = –3x + 8/3, the slope is –3. In y = –3x + 9/2, the slope is –3. Yes, the slopes of both equations are the same.Identify Y-Intercepts: We have: y = –3x + 8/3 y = –3x + 9/2 Identify whether the y-intercepts of both the equations are the same. In y = –3x + 8/3, the y-intercept is 8/3. In y = –3x + 9/2, the y-intercept is 9/2. No, the y-intercepts of both equations are not the same.Choose Description: y = –3x + 8/3 y = –3x + 9/2 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 solution that satisfies both equations simultaneously.

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Which describes the system of equations below? $\newline$ $y = -3x + \frac{8}{3}$ $\newline$ $y = -3x + \frac{9}{2}$ $\newline$ Choices: $\newline$ (A)consistent and independent $\newline$ (B)consistent and dependent $\newline$ (C)inconsistent

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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 = -3x + \frac{8}{3}

\newline

y = -3x + \frac{9}{2}

\newline

Choices:

\newline

(A)consistent and independent

\newline

(B)consistent and dependent

\newline

(C)inconsistent

Identify Slopes: We have the following system of equations: $\newline$ y = $-3x + \frac{8}{3}$ $\newline$ y = $-3x + \frac{9}{2}$ $\newline$ Identify whether the slopes of both the equations are the same. $\newline$ In $y = -3x + \frac{8}{3}$ , the slope is $-3$ . $\newline$ In $y = -3x + \frac{9}{2}$ , the slope is $-3$ . $\newline$ Yes, the slopes of both equations are the same.
Identify Y-Intercepts: We have: $\newline$ y = $-3x + \frac{8}{3}$ $\newline$ y = $-3x + \frac{9}{2}$ $\newline$ Identify whether the y-intercepts of both the equations are the same. $\newline$ In $y = -3x + \frac{8}{3}$ , the y-intercept is $\frac{8}{3}$ . $\newline$ In $y = -3x + \frac{9}{2}$ , the y-intercept is $\frac{9}{2}$ . $\newline$ No, the y-intercepts of both equations are not the same.
Choose Description: $y = -3x + \frac{8}{3}$ $\newline$ $y = -3x + \frac{9}{2}$ $\newline$ 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 never intersect. $\newline$ The system of equations is inconsistent because there is no solution that satisfies both equations simultaneously.