Questions: Question 16 Using the graph of (y=-1 x+3, -1 x+y=1), shown below, determine how many solutions the system has. The system has: One Solution Infinitely many Solutions No Solutions

Question 16 Using the graph of (y=-1 x+3, -1 x+y=1), shown below, determine how many solutions the system has. The system has: One Solution Infinitely many Solutions No Solutions
Transcript text: Question 16 Using the graph of $\begin{array}{l}y=-1 x+3 \\ -1 x+y=1\end{array}$, shown below, determine how many solutions the system has. The system has: One Solution Infinitely many Solutions No Solutions
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Solution

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Solution Steps

Step 1: Identify the Equations

The given system of equations is:

  1. \( y = -1x + 3 \)
  2. \( -1x + y = 1 \)
Step 2: Graph the Equations

The graph of the equations is provided. The blue line represents \( y = -1x + 3 \) and the red line represents \( -1x + y = 1 \).

Step 3: Determine the Intersection Point

Observe the graph to find the point where the two lines intersect. The intersection point represents the solution to the system of equations.

Final Answer

The system has one solution.

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