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How many solutions does the system have? {[y=4x-8],[4y=4x-8]:} Choose 1 answer: (A) Exactly one solution (B) No solutions (c) Infinitely many solutions

How many solutions does the system have?\newline{y=4x−84y=4x−8 \left\{\begin{array}{l} y=4 x-8 \\ 4 y=4 x-8 \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=4x−84y=4x−8 \left\{\begin{array}{l} y=4 x-8 \\ 4 y=4 x-8 \end{array}\right. \newlineChoose 11 answer:\newline(A) Exactly one solution\newline(B) No solutions\newline(C) Infinitely many solutions
  1. Analyze System of Equations: Analyze the given system of equations.\newlineThe system of equations is:\newliney=4x−8 y = 4x - 8 \newline4y=4x−8 4y = 4x - 8 \newlineWe need to determine if these two equations represent the same line, parallel lines, or intersecting lines.
  2. Simplify Second Equation: Simplify the second equation if possible.\newlineThe second equation is 4y=4x−8 4y = 4x - 8 . We can simplify this by dividing every term by 44 to get y=x−2 y = x - 2 .\newlineHowever, this is a mistake. The correct simplification should be y=x−2 y = x - 2 divided by 44, which is y=x−2 y = x - 2 .

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