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How many solutions does the system have? {[y=-5x+1],[y=1-5x]:} Choose 1 answer: (A) Exactly one solution (B) No solutions (c) Infinitely many solutions

How many solutions does the system have?\newline{y=−5x+1y=1−5x \left\{\begin{array}{l} y=-5 x+1 \\ y=1-5 x \end{array}\right. \newlineChoose 11 answer:\newline(A) Exactly one solution\newline(B) No solutions\newline(C) Infinitely many solutions

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Q. How many solutions does the system have?\newline{y=−5x+1y=1−5x \left\{\begin{array}{l} y=-5 x+1 \\ y=1-5 x \end{array}\right. \newlineChoose 11 answer:\newline(A) Exactly one solution\newline(B) No solutions\newline(C) Infinitely many solutions
  1. Analyze the system of equations: Analyze the given system of equations.\newlineWe have the following system:\newliney=−5x+1y = -5x + 1\newliney=1−5xy = 1 - 5x\newlineLet's compare the equations to see if they are the same or different.
  2. Rearrange the second equation: Rearrange the second equation to match the format of the first equation.\newlineThe second equation can be rewritten as:\newliney=−5x+1y = -5x + 1\newlineNow both equations look identical.
  3. Determine the number of solutions: Determine the number of solutions.\newlineSince both equations are identical, every point that lies on the first line will also lie on the second line. This means that the system of equations has infinitely many solutions.

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