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The equations \(y = 2x + 3\) and \(y = -x - 3\) form a linear system.

1. Graph the system.
   
   
   Solution

   
2. Determine the solution to the system.
   
   
   Solution

   The two lines intersect at \((-2,-1)\), so this is the solution to the system.
   
3. Verify the solution by substitution.
   
   
   Solution

   \(y = 2x + 3\)
   
   

   Left Side	Right Side
   \(\begin{array}{r}   y \\   -1  \end{array}\)	\(\begin{array}{l}   2x + 3 \\   2(-2) + 3 \\   -4 + 3\\  -1 \end{array}\)
   LS = RS

   
   

   \(y = -x - 3\)
   
   

   Left Side	Right Side
   \(\begin{array}{r}   y \\   -1  \end{array}\)	\(\begin{array}{l}   -x - 3 \\   -(-2) - 3 \\   2 - 3\\  -1 \end{array}\)
   LS = RS

   
   

   
   The solution satisfies each equation. The solution is verified.