Describe the first case of solving a system of linear equations with two variables as presented in the text.

Case 1: Intersecting Lines

• Condition: The two lines represented by the equations $$a_1x + b_1y = c_1$$ and $$a_2x + b_2y = c_2$$ intersect.
• Graphical Representation: The intersection point of the two lines on the graph.
• Number of Solutions: There is exactly one unique solution because there is only one point common to both lines.
• Textual Explanation: The coordinates of the intersection point satisfy both equations, thus representing the unique solution to the system.