Jane bought 2 pairs of shoes and 3 umbrellas for $55. She then bought another pair of shoes and another 2 umbrellas for $30. Let x be the cost of a pair of shoes and y the cost of an umbrella. (a) Represent this information as a system of two linear equations. 1 (b) Write the corresponding augmented matrix for this system. (c) Use elementary row operations on your augmented matrix from (b) to determine the cost of a pair of shoes and the cost of an umbrella. At each step write down the elementary row operation that you use