Q. How many solutions does the system of equations below have?y=−4x+2y=−4x+2Choices:(A)no solution(B)one solution(C)infinitely many solutions
Analyze Equations: Analyze the given system of equations.We are given two equations:y=−4x+2y=−4x+2We notice that both equations are identical. This means that every solution to the first equation is also a solution to the second equation.
Identify Solutions: Determine the number of solutions for identical equations.Since the two equations are the same, their graphs would be the same line. Therefore, any point that lies on this line is a solution to both equations. This implies that there are infinitely many points that satisfy both equations.
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