The graphs that could be used to solve the system are C.
1. Analyze the system of equations:
First equation: X + 5y = 5 can be rewritten as y = -(1/5)x + 1. This gives us the slope (-1/5) and y-intercept (1) of the first line.
Second equation: 2x - y = -4 can be rewritten as y = 2x + 4. This gives us the slope (2) and y-intercept (4) of the second line.
2. Compare the slopes and intercepts with the graphs:
Graph C:
Blue line: slope ≈ -1/5, y-intercept ≈ 1.5 (close to 1, the actual y-intercept)
Green line: slope ≈ 2, y-intercept ≈ 4.5 (close to 4, the actual y-intercept)
3. Identify the matching graph
While graph B also seems like a potential candidate due to the green line having the correct slope and y-intercept, the blue line in graph B has a slightly steeper slope than -1/5. Looking closely at graph C, both the blue and green lines have slopes and y-intercepts very close to the actual values derived from the equations, making it the most accurate representation of the system.
Therefore, graph C accurately depicts the given system of equations with the closest values for slopes and y-intercepts.