Which describes the system of equations below? y = 5/4x + 1/8 y = 5/4x − 8/9 Choices: (A)consistent and dependent (B)inconsistent (C)consistent and independent

Identify Slopes Same: We have the system of equations: y = (5/4)x + (1/8) y = (5/4)x - (8/9) Identify whether the slopes of both the equations are the same. In y = (5/4)x + (1/8), the slope is 5/4. In y = (5/4)x - (8/9), the slope is 5/4. Yes, the slopes of both equations are the same.Identify Y-Intercepts Same: We have: y = (5/4)x + (1/8) y = (5/4)x - (8/9) Identify whether the y-intercepts of both the equations are the same. In y = (5/4)x + (1/8), the y-intercept is 1/8. In y = (5/4)x - (8/9), the y-intercept is -8/9. No, the y-intercepts of both equations are not the same.Choose System Description: y = (5/4)x + (1/8) y = (5/4)x - (8/9) 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? $\newline$ $y = \frac{5}{4}x + \frac{1}{8}$ $\newline$ $y = \frac{5}{4}x - \frac{8}{9}$ $\newline$ 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 = \frac{5}{4}x + \frac{1}{8}

\newline

y = \frac{5}{4}x - \frac{8}{9}

\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 = $(\frac{5}{4})x + (\frac{1}{8})$ $\newline$ y = $(\frac{5}{4})x - (\frac{8}{9})$ $\newline$ Identify whether the slopes of both the equations are the same. $\newline$ In $y = (\frac{5}{4})x + (\frac{1}{8})$ , the slope is $\frac{5}{4}$ . $\newline$ In $y = (\frac{5}{4})x - (\frac{8}{9})$ , the slope is $\frac{5}{4}$ . $\newline$ Yes, the slopes of both equations are the same.
Identify Y-Intercepts Same: We have: $\newline$ y = $(\frac{5}{4})x + (\frac{1}{8})$ $\newline$ y = $(\frac{5}{4})x - (\frac{8}{9})$ $\newline$ Identify whether the y-intercepts of both the equations are the same. $\newline$ In $y = (\frac{5}{4})x + (\frac{1}{8})$ , the y-intercept is $\frac{1}{8}$ . $\newline$ In $y = (\frac{5}{4})x - (\frac{8}{9})$ , the y-intercept is $-\frac{8}{9}$ . $\newline$ No, the y-intercepts of both equations are not the same.
Choose System Description: $y = \frac{5}{4}x + \frac{1}{8}$ $\newline$ $y = \frac{5}{4}x - \frac{8}{9}$ $\newline$ 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.