The image contains two equations, $y = x + 3$ and $-x + y = 3$, alongside a graph illustrating their solution.

Explanation and Solution:

1. Rewrite the second equation into slope-intercept form: $-x + y = 3 \implies y = x + 3$

2. Notice that both equations are identical: $y = x + 3$ This means they represent the same line.

3. Graphical Interpretation: Since both equations describe the same line, the "solution" includes every point on the line $y = x + 3$. In essence, there are infinitely many solutions, as any point satisfying $y = x + 3$ works for both equations.

4. Visual Confirmation: The graph accurately depicts this situation, showing a single line passing through points such as $(-3, 0)$, $(0, 3)$, and $(3, 6)$. These points satisfy both equations.

Would you like a more detailed breakdown or assistance with other problems? Here are five related questions:

1. How can we determine whether two lines are identical from their equations?
2. What does it mean graphically when two equations form the same line?
3. How do you solve a system of equations algebraically versus graphically?
4. Can you explain the significance of the slope and $y$-intercept in determining if two lines coincide?
5. What are some examples of systems of equations with no solution or one solution?

Tip: Always simplify equations to their slope-intercept form ($y = mx + b$) to easily compare and analyze their relationship!