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

Given Equations: We are given a system of two linear equations: 1) y = -2x - 4 2) y = 3x + 3 To find the number of solutions, we need to determine if the lines represented by these equations intersect, are parallel, or are the same line.Slope Comparison: First, let's compare the slopes of the two lines. The slope of the first equation is -2, and the slope of the second equation is 3. Since the slopes are not equal, the lines are not parallel.Intersection Point: Because the lines are not parallel, they must intersect at exactly one point. Therefore, the system of equations has exactly one solution.

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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? $\newline$ $\begin{cases} y=-2x-4\ \newline y=3x+3 \end{cases}$ $\newline$ Choose $1$ 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

\begin{cases} y=-2x-4\ \newline y=3x+3 \end{cases}

\newline

Choose

1

answer:

\newline

(A) Exactly one solution

\newline

(B) No solutions

\newline

Given Equations: We are given a system of two linear equations: $\newline$ $1$ ) $y = -2x - 4$ $\newline$ $2$ ) $y = 3x + 3$ $\newline$ To find the number of solutions, we need to determine if the lines represented by these equations intersect, are parallel, or are the same line.
Slope Comparison: First, let's compare the slopes of the two lines. The slope of the first equation is $-2$ , and the slope of the second equation is $3$ . Since the slopes are not equal, the lines are not parallel.
Intersection Point: Because the lines are not parallel, they must intersect at exactly one point. Therefore, the system of equations has exactly one solution.