Exercise 2 (Linear Approximation, 25 Points) Consider the following system of two nonlinear equations with two unknowns: a White} = 0 {I} yv5az+53=c (II) where y and a: are the unknowns and c E R is some erogenous variable. 1. Assume that c = 0 and answer the following questions: (a) [4 points] How many solutions does the system have? You do not need to calculate the solution(s), but please explain your answer. (Hint: \"y to sketch the equations in a two dimensional coordinate system.) (b) [1 point} Verify that (3*, y\") = [1, ) is one solution. 2. Assume nonT that c decreases by the small amount c