Which describes the system of equations below? y = 5/8x + 10/7 y = 5/8x + 9/2 Choices: (A)consistent and dependent (B)inconsistent (C)consistent and independent

Identify Slopes Same: We have the system of equations: y = (5/8)x + 10/7 y = (5/8)x + 9/2 Identify whether the slopes of both the equations are the same. In y = (5/8)x + 10/7, the slope is 5/8. In y = (5/8)x + 9/2, the slope is 5/8. Yes, the slopes of both equations are the same.Identify Y-Intercepts: We have: y = (5/8)x + 10/7 y = (5/8)x + 9/2 Identify whether the y-intercepts of both equations are the same. In y = (5/8)x + 10/7, the y-intercept is 10/7. In y = (5/8)x + 9/2, the y-intercept is 9/2. No, the y-intercepts of both equations are not the same.Choose System Description: y = (5/8)x + 10/7 y = (5/8)x + 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.

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Which describes the system of equations below? $\newline$ $y = \frac{5}{8}x + \frac{10}{7}$ $\newline$ $y = \frac{5}{8}x + \frac{9}{2}$ $\newline$ Choices: $\newline$ (A)consistent and dependent $\newline$ (B)inconsistent $\newline$ (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 = \frac{5}{8}x + \frac{10}{7}

\newline

y = \frac{5}{8}x + \frac{9}{2}

\newline

Choices:

\newline

(A)consistent and dependent

\newline

(B)inconsistent

\newline

(C)consistent and independent

Identify Slopes Same: We have the system of equations: $\newline$ $y = \frac{5}{8}x + \frac{10}{7}$ $\newline$ $y = \frac{5}{8}x + \frac{9}{2}$ $\newline$ Identify whether the slopes of both the equations are the same. $\newline$ In $y = \frac{5}{8}x + \frac{10}{7}$ , the slope is $\frac{5}{8}$ . $\newline$ In $y = \frac{5}{8}x + \frac{9}{2}$ , the slope is $\frac{5}{8}$ . $\newline$ Yes, the slopes of both equations are the same.
Identify Y-Intercepts: We have: $\newline$ y = $(\frac{5}{8})x + \frac{10}{7}$ $\newline$ y = $(\frac{5}{8})x + \frac{9}{2}$ $\newline$ Identify whether the y-intercepts of both equations are the same. $\newline$ In $y = (\frac{5}{8})x + \frac{10}{7}$ , the y-intercept is $\frac{10}{7}$ . $\newline$ In $y = (\frac{5}{8})x + \frac{9}{2}$ , the y-intercept is $\frac{9}{2}$ . $\newline$ No, the y-intercepts of both equations are not the same.
Choose System Description: $y = \frac{5}{8}x + \frac{10}{7}$ $\newline$ $y = \frac{5}{8}x + \frac{9}{2}$ $\newline$ 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.