Please answer both parts with work if possible

A closed economy has government purchases of 2,000. Desired national saving and desired investment are given by the following. sd = 200 + 5000r + 0.10Y - 0.20G Id = 1000 - 4000r where Y is output, and r is the real interest rate. a Calculate the real interest rate that clears the goods market when the full-employment level of output equals 5,000. Show all your work and round your answer to 2 decimal places. (6 points) b) What is the level of investment at the equilibrium interest rate? Show all your work and round your answer to 2 decimal places. (4 points)