4. \( \left\{\begin{array}{l}y-5 x=3 \\ 10 x-2 y=7\end{array}\right. \)

To solve the system of equations: 1. From the first equation, rearranging gives: \( y = 5x + 3 \). Now substitute this expression for \( y \) into the second equation: \( 10x - 2(5x + 3) = 7 \). Simplifying gives \( 10x - 10x - 6 = 7 \), leading to \( -6 = 7 \), which is a contradiction. This means the system of equations has no solution, indicating that the lines represented by these equations are parallel and will never intersect. 2. Since we established the two lines are parallel, it's essential to visualize this situation. Sketching these equations on a graph would reveal two lines that run alongside each other, forever apart. This serves as a reminder that not all systems have solutions, and sometimes, one just has to appreciate the beauty of parallel lines wandering through the coordinate plane!