Which describes the system of equations below? y = –9x − 3 y = –9x + 5/2 Choices: (A)inconsistent (B)consistent and dependent (C)consistent and independent

Identify Slopes: We have the following system of equations: y = –9x − 3 y = –9x + 5/2 Identify whether the slopes of both the equations are the same. In y = –9x − 3, the slope is –9. In y = –9x + 5/2, the slope is –9. Yes, the slopes of both the equations are the same.Identify Y-Intercepts: We have: y = –9x − 3 y = –9x + 5/2 Identify whether the y-intercepts of both the equations are the same. In y = –9x − 3, the y-intercept is –3. In y = –9x + 5/2, the y-intercept is 5/2. No, the y-intercepts of both the equations are not the same.Choose Option: y = –9x − 3 y = –9x + 5/2 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 will never intersect. This means there are no solutions where both equations are satisfied simultaneously. The system of equations is inconsistent.

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Which describes the system of equations below? $\newline$ $y = -9x - 3$ $\newline$ $y = -9x + \frac{5}{2}$ $\newline$ Choices: $\newline$ (A)inconsistent $\newline$ (B)consistent and dependent $\newline$ (C)consistent and independent

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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 = -9x - 3

\newline

y = -9x + \frac{5}{2}

\newline

Choices:

\newline

(A)inconsistent

\newline

(B)consistent and dependent

\newline

(C)consistent and independent

Identify Slopes: We have the following system of equations: $\newline$ $y = -9x - 3$ $\newline$ $y = -9x + \frac{5}{2}$ $\newline$ Identify whether the slopes of both the equations are the same. $\newline$ In $y = -9x - 3$ , the slope is $-9$ . $\newline$ In $y = -9x + \frac{5}{2}$ , the slope is $-9$ . $\newline$ Yes, the slopes of both the equations are the same.
Identify Y-Intercepts: We have: $\newline$ $y = -9x - 3$ $\newline$ $y = -9x + \frac{5}{2}$ $\newline$ Identify whether the y-intercepts of both the equations are the same. $\newline$ In $y = -9x - 3$ , the y-intercept is $-3$ . $\newline$ In $y = -9x + \frac{5}{2}$ , the y-intercept is $\frac{5}{2}$ . $\newline$ No, the y-intercepts of both the equations are not the same.
Choose Option: $y = -9x - 3$ $\newline$ $y = -9x + \frac{5}{2}$ $\newline$ 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 will never intersect. This means there are no solutions where both equations are satisfied simultaneously. $\newline$ The system of equations is inconsistent.