Q. How many solutions does the system of equations below have?y=−x−5y=−x−5Choices:(A)no solution(B)one solution(C)infinitely many solutions
Analyze System of Equations: Analyze the given system of equations.The system of equations is:y=−x−5y=−x−5These two equations are identical, meaning every solution to the first equation is also a solution to the second equation.
Determine Number of Solutions: Determine the number of solutions for the system.Since both equations are the same, every point on the line y=−x−5 is a solution to the system. Therefore, there are infinitely many points that satisfy both equations.