Solve the following system using augmented matrix methods:
5x - 10y = -55
-3x + 6y = 31
(a) The initial matrix is:
[888]
(b) First, perform the Row Operation \frac{1}{5}R_1 \to R_1. The resulting matrix is:
[888]
(c) Next, perform the operation +3R_1 + R_2 \to R_2. The resulting matrix is:
[888]
(d) Finish simplifying the augmented matrix. The reduced matrix is:
[888]
(e) How many solutions does the system have? If infinitely many, enter \"Infinity\" .
(f) What are the solutions to the system?
If there are no solutions, write \"No Solution\" or \"None\" for each answer. If there are infinitely many solutions let y = t and solve for x in terms of t.