\( y=2 x+3 \) \( 2 y=4 x+6 \) The system of equations has no solution(s). one infinite

Both equations \( y = 2x + 3 \) and \( 2y = 4x + 6 \) represent the same line when simplified. The second equation can be rewritten as \( y = 2x + 3 \) after dividing everything by 2. Since they essentially describe the same relationship, the system of equations has infinitely many solutions, as every point on the line satisfies both equations! To better understand the nature of the system, you can graph these two lines. They'll lie directly on top of one another, demonstrating graphically that an infinite number of solutions exist. This is a perfect example of dependent equations where a single linear equation is represented in two forms!