Step 1 :The system of equations is: \[\begin{array}{l} 4 x+3 y=5 \\ 8 x+6 y=10 \end{array}\]
Step 2 :We can see that the second equation is just the first equation multiplied by 2. This means that the two equations are not independent, they are the same line.
Step 3 :Therefore, there are infinitely many solutions that satisfy both equations.
Step 4 :The solution set is \(\{(x, y)\}\) where \(x = \frac{5}{4} - \frac{3y}{4}\).
Step 5 :\(\boxed{\text{Final Answer: The correct choice is B. There are infinitely many solutions. The solution set is }\{(x, y)\}\text{ where }x = \frac{5}{4} - \frac{3y}{4}\}