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

Analyze System Relationship: Analyze the given system of equations to determine their relationship. The system of equations is: y = –2x − 3 y = –2x − 3 We can see that both equations are identical. This means that every solution to the first equation is also a solution to the second equation. Therefore, the lines represented by these equations would coincide on a graph, and there are infinitely many solutions.Determine System Type: Determine the type of system based on the analysis. Since the two equations are identical, the system does not have a unique solution (which would make it independent), nor does it have no solution (which would make it inconsistent). Instead, it has infinitely many solutions, which means the system is dependent.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which describes the system of equations below? $\newline$ $y = -2x - 3$ $\newline$ $y = -2x - 3$ $\newline$ Choices: $\newline$ (A)consistent and independent $\newline$ (B)consistent and dependent $\newline$ (C)inconsistent

View step-by-step help

Home

Math Problems

Grade 8

Classify a system of equations

Full solution

Q. Which describes the system of equations below?

\newline

y = -2x - 3

\newline

y = -2x - 3

\newline

Choices:

\newline

(A)consistent and independent

\newline

(B)consistent and dependent

\newline

(C)inconsistent

Analyze System Relationship: Analyze the given system of equations to determine their relationship. $\newline$ The system of equations is: $\newline$ $y = -2x - 3$ $\newline$ $y = -2x - 3$ $\newline$ We can see that both equations are identical. This means that every solution to the first equation is also a solution to the second equation. Therefore, the lines represented by these equations would coincide on a graph, and there are infinitely many solutions.
Determine System Type: Determine the type of system based on the analysis. $\newline$ Since the two equations are identical, the system does not have a unique solution (which would make it independent), nor does it have no solution (which would make it inconsistent). Instead, it has infinitely many solutions, which means the system is dependent.