Which describes the system of equations below? y = 5x + 3/5 y = 5x + 7/5 Choices: (A)inconsistent (B)consistent and independent (C)consistent and dependent

Slope Comparison: We have the system of equations: y = 5x + 3/5 y = 5x + 7/5 Identify whether the slopes of both the equations are the same. In y = 5x + 3/5, the slope is 5. In y = 5x + 7/5, the slope is 5. Yes, the slopes of both equations are the same.Y-Intercept Comparison: We have the system of equations: y = 5x + 3/5 y = 5x + 7/5 Identify whether the y-intercepts of both the equations are the same. In y = 5x + 3/5, the y-intercept is 3/5. In y = 5x + 7/5, the y-intercept is 7/5. No, the y-intercepts of both equations are not the same.System Description: y = 5x + 3/5 y = 5x + 7/5 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? $\newline$ $y = 5x + \frac{3}{5}$ $\newline$ $y = 5x + \frac{7}{5}$ $\newline$ Choices: $\newline$ (A) inconsistent $\newline$ (B) consistent and independent $\newline$ (C) consistent and dependent

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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 = 5x + \frac{3}{5}

\newline

y = 5x + \frac{7}{5}

\newline

Choices:

\newline

(A) inconsistent

\newline

(B) consistent and independent

\newline

Slope Comparison: We have the system of equations: $\newline$ $y = 5x + \frac{3}{5}$ $\newline$ $y = 5x + \frac{7}{5}$ $\newline$ Identify whether the slopes of both the equations are the same. $\newline$ In $y = 5x + \frac{3}{5}$ , the slope is $5$ . $\newline$ In $y = 5x + \frac{7}{5}$ , the slope is $5$ . $\newline$ Yes, the slopes of both equations are the same.
Y-Intercept Comparison: We have the system of equations: $\newline$ y = $5$ x + $\frac{3}{5}$ $\newline$ y = $5$ x + $\frac{7}{5}$ $\newline$ Identify whether the y-intercepts of both the equations are the same. $\newline$ In $y = 5x + \frac{3}{5}$ , the y-intercept is $\frac{3}{5}$ . $\newline$ In $y = 5x + \frac{7}{5}$ , the y-intercept is $\frac{7}{5}$ . $\newline$ No, the y-intercepts of both equations are not the same.
System Description: $y = 5x + \frac{3}{5}$ $\newline$ $y = 5x + \frac{7}{5}$ $\newline$ 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.