How many solutions does the system have? {[y=-7x+8],[y=-7x-8]:} Choose 1 answer: (A) Exactly one solution (B) No solutions (C) Infinitely many solutions

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How many solutions does the system have?  {[y=-7x+8],[y=-7x-8]:} Choose 1 answer: (A) Exactly one solution (B) No solutions (C) Infinitely many solutions

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Analyze Equations: Analyze the system of equations. We have the system: {[y=-7x+8],[y=-7x-8]:} To determine the number of solutions, we need to compare the slopes and y-intercepts of the two lines.Identify Slopes and Intercepts: Identify the slopes and y-intercepts of the lines. The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. For the first equation, y = -7x + 8, the slope (m) is -7 and the y-intercept (b) is 8. For the second equation, y = -7x - 8, the slope (m) is also -7 and the y-intercept (b) is -8.Compare Slopes and Intercepts: Compare the slopes and y-intercepts. Both lines have the same slope, -7, but different y-intercepts (8 and -8). Since the slopes are the same but the y-intercepts are different, the lines are parallel and will never intersect.Conclude Number of Solutions: Conclude the number of solutions. Parallel lines never meet, so there are no points of intersection. Therefore, the system has no solutions.

How many solutions does the system have? $\newline$ $\begin{cases} y = -7x + 8 \\ y = -7x - 8 \end{cases}$ $\newline$ Choose $1$ answer: $\newline$ (A) Exactly one solution $\newline$ (B) No solutions $\newline$ (C) Infinitely many solutions

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How many solutions does the system have?\newline{y=−7x+8y=−7x−8\begin{cases} y = -7x + 8 \\ y = -7x - 8 \end{cases}{y=−7x+8y=−7x−8​\newlineChoose 111 answer:\newline(A) Exactly one solution\newline(B) No solutions\newline(C) Infinitely many solutions

How many solutions does the system have? $\newline$ $\begin{cases} y = -7x + 8 \\ y = -7x - 8 \end{cases}$ $\newline$ Choose $1$ answer: $\newline$ (A) Exactly one solution $\newline$ (B) No solutions $\newline$ (C) Infinitely many solutions