Which describes the system of equations below? y = 3x − 2 y = 3x + 1/6 Choices: (A)consistent and dependent (B)consistent and independent (C)inconsistent

Identify Slopes: We have the system of equations: y = 3x − 2 y = 3x + 1/6 Identify whether the slopes of both the equations are the same. In y = 3x − 2, the slope is 3. In y = 3x + 1/6, the slope is also 3. Yes, the slopes of both equations are the same.Identify Y-Intercepts: We have: y = 3x − 2 y = 3x + 1/6 Identify whether the y-intercepts of both the equations are the same. In y = 3x − 2, the y-intercept is -2. In y = 3x + 1/6, the y-intercept is 1/6. No, the y-intercepts of both equations are not the same.Choose System Description: y = 3x − 2 y = 3x + 1/6 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? $\newline$ $y = 3x - 2$ $\newline$ $y = 3x + \frac{1}{6}$ $\newline$ Choices: $\newline$ (A)consistent and dependent $\newline$ (B)consistent and independent $\newline$ (C)inconsistent

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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 = 3x - 2

\newline

y = 3x + \frac{1}{6}

\newline

Choices:

\newline

(A)consistent and dependent

\newline

(B)consistent and independent

\newline

(C)inconsistent

Identify Slopes: We have the system of equations: $\newline$ $y = 3x − 2$ $\newline$ $y = 3x + \frac{1}{6}$ $\newline$ Identify whether the slopes of both the equations are the same. $\newline$ In $y = 3x − 2$ , the slope is $3$ . $\newline$ In $y = 3x + \frac{1}{6}$ , the slope is also $3$ . $\newline$ Yes, the slopes of both equations are the same.
Identify Y-Intercepts: We have: $\newline$ y = $3x − 2$ $\newline$ y = $3x + \frac{1}{6}$ $\newline$ Identify whether the y-intercepts of both the equations are the same. $\newline$ In $y = 3x − 2$ , the y-intercept is $-2$ . $\newline$ In $y = 3x + \frac{1}{6}$ , the y-intercept is $\frac{1}{6}$ . $\newline$ No, the y-intercepts of both equations are not the same.
Choose System Description: $y = 3x - 2$ $\newline$ $y = 3x + \frac{1}{6}$ $\newline$ 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.