Solve the system of equations: 5y = 4x + 3, 4x = 5y - 3.

Step 1: Rearrange the second equation to isolate 4x: 4x = 5y - 3.

Step 2: Substitute the expression for 4x from the second equation into the first equation: 5y = (5y - 3) + 3.

Step 3: Simplify and solve for y: 5y = 5y, which is true for all values of y. This indicates that the two equations are dependent and represent the same line.

Step 4: Since the equations are dependent, there are infinitely many solutions. We can express the solution set in terms of one variable. From the first equation, 5y = 4x + 3, we can write y = (4x + 3) / 5.