How many solutions does the system of equations below have? y = –x − 2 y = –x − 2 Choices: (A)no solution (B)one solution (C)infinitely many solutions

Analyze Equations Given: Analyze the equations given in the problem. Both equations are y = –x − 2. Identical Equations: Since both equations are identical, every point that lies on the first line also lies on the second line. This means every solution to the first equation is also a solution to the second equation. Infinite Solutions: Therefore, the system of equations does not have just one solution or no solution, but every point on the line y = –x − 2 is a solution. This indicates that there are infinitely many solutions.

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How many solutions does the system of equations below have? $\newline$ $y = -x - 2$ $\newline$ $y = -x - 2$ $\newline$ Choices: $\newline$ (A)no solution $\newline$ (B)one solution $\newline$ (C)infinitely many solutions

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Q. How many solutions does the system of equations below have?

\newline

y = -x - 2

\newline

y = -x - 2

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Analyze Equations Given: Analyze the equations given in the problem. Both equations are $y = -x - 2$ .
Identical Equations: Since both equations are identical, every point that lies on the first line also lies on the second line. This means every solution to the first equation is also a solution to the second equation.
Infinite Solutions: Therefore, the system of equations does not have just one solution or no solution, but every point on the line $y = -x - 2$ is a solution. This indicates that there are infinitely many solutions.