How many solutions does the system of equations below have? y = –x + 1 y = –x + 1 Choices: (A)no solution (B)one solution (C)infinitely many solutions

Given Equations: The system of equations is given as: y = –x + 1 y = –x + 1 We need to determine how many solutions this system has. Since both equations are identical, every solution to one equation is also a solution to the other equation. This means that any point on the line y = –x + 1 is a solution to the system.Identical Equations: Because the two equations are the same, there is not just one point of intersection; rather, the lines coincide with each other completely. This means that there are infinitely many points where the two equations are true at the same time.Infinite Solutions: Therefore, the system of equations has infinitely many solutions, since the two lines are the same and overlap completely.

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How many solutions does the system of equations below have? $\newline$ $y = -x + 1$ $\newline$ $y = -x + 1$ $\newline$ 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 + 1

\newline

y = -x + 1

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Given Equations: The system of equations is given as: $\newline$ $y = -x + 1$ $\newline$ $y = -x + 1$ $\newline$ We need to determine how many solutions this system has. $\newline$ Since both equations are identical, every solution to one equation is also a solution to the other equation. This means that any point on the line $y = -x + 1$ is a solution to the system.
Identical Equations: Because the two equations are the same, there is not just one point of intersection; rather, the lines coincide with each other completely. This means that there are infinitely many points where the two equations are true at the same time.
Infinite Solutions: Therefore, the system of equations has infinitely many solutions, since the two lines are the same and overlap completely.