Q. How many solutions does the system of equations below have?y=−52x−9y=−52x−9Choices:(A)no solution(B)one solution(C)infinitely many solutions
Analyze Equations: Analyze the given system of equations.The system of equations is:y=5−2x−9y=5−2x−9We notice that both equations are identical.
Identify Solutions: Determine the number of solutions for identical equations.Since both equations are the same, every point on the line y=−52x−9 is a solution to the system. Therefore, there are infinitely many points that satisfy both equations simultaneously.