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How many solutions does the system have? {[y=-2x-4],[y=3x+3]:} Choose 1 answer: (A) Exactly one solution (B) No solutions (c) Infinitely many solutions

How many solutions does the system have?\newline{y=−2x−4y=3x+3 \left\{\begin{array}{l} y=-2 x-4 \\ y=3 x+3 \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=−2x−4y=3x+3 \left\{\begin{array}{l} y=-2 x-4 \\ y=3 x+3 \end{array}\right. \newlineChoose 11 answer:\newline(A) Exactly one solution\newline(B) No solutions\newline(C) Infinitely many solutions
  1. Analyze slopes of equations: Analyze the slopes of the two equations.\newlineThe first equation is y=−2x−4y = -2x - 4, which has a slope of −2-2.\newlineThe second equation is y=3x+3y = 3x + 3, which has a slope of 33.\newlineSince the slopes are different, the lines are not parallel.
  2. Determine if one solution exists: Determine if there is exactly one solution.\newlineSince the slopes are different, the lines will intersect at exactly one point.\newlineThis means there is exactly one solution to the system of equations.

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