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How many solutions does the system of equations below have?\newliney=6x+10y = 6x + 10\newliney=6x+10y = 6x + 10\newlineChoices:\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?\newliney=6x+10y = 6x + 10\newliney=6x+10y = 6x + 10\newlineChoices:\newline(A) no solution\newline(B) one solution\newline(C) infinitely many solutions
  1. Analyze Equations Given: Step 11: Analyze the equations given.\newlineBoth equations are y=6x+10y = 6x + 10. This means they are the same line.
  2. Determine Solutions for Identical Lines: Step 22: Determine the number of solutions for identical lines.\newlineSince both equations represent the same line, every point on the line is a solution to both equations. Therefore, there are infinitely many points where these equations intersect, because they are the same line.

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