Which describes the system of equations below? y = –6x + 5 y = –6x + 4/7 Choices: (A)consistent and dependent (B)inconsistent (C)consistent and independent

Slope Comparison: We have the system of equations: y = –6x + 5 y = –6x + 4/7 Identify whether the slopes of both the equations are the same. In y = –6x + 5, the slope is -6. In y = –6x + 4/7, the slope is also -6. Yes, the slopes of both equations are the same.Y-Intercept Comparison: We have: y = –6x + 5 y = –6x + 4/7 Identify whether the y-intercepts of both the equations are the same. In y = –6x + 5, the y-intercept is 5. In y = –6x + 4/7, the y-intercept is 4/7. No, the y-intercepts of both equations are not the same.System Description: y = –6x + 5 y = –6x + 4/7 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 never intersect. The system of equations is inconsistent.

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Which describes the system of equations below? $\newline$ $y = -6x + 5$ $\newline$ $y = -6x + \frac{4}{7}$ $\newline$ 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 = -6x + 5

\newline

y = -6x + \frac{4}{7}

\newline

Choices:

\newline

(A)consistent and dependent

\newline

(B)inconsistent

\newline

(C)consistent and independent

Slope Comparison: We have the system of equations: $\newline$ $y = -6x + 5$ $\newline$ $y = -6x + \frac{4}{7}$ $\newline$ Identify whether the slopes of both the equations are the same. $\newline$ In $y = -6x + 5$ , the slope is $-6$ . $\newline$ In $y = -6x + \frac{4}{7}$ , the slope is also $-6$ . $\newline$ Yes, the slopes of both equations are the same.
Y-Intercept Comparison: We have: $\newline$ y = $-6x + 5$ $\newline$ y = $-6x + \frac{4}{7}$ $\newline$ Identify whether the y-intercepts of both the equations are the same. $\newline$ In $y = -6x + 5$ , the y-intercept is $5$ . $\newline$ In $y = -6x + \frac{4}{7}$ , the y-intercept is $\frac{4}{7}$ . $\newline$ No, the y-intercepts of both equations are not the same.
System Description: $y = -6x + 5$ $\newline$ $y = -6x + \frac{4}{7}$ $\newline$ 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 never intersect. $\newline$ The system of equations is inconsistent.