Equilibrium price and quantity of bonds

Question

Problem:

Suppose the demand and supply curves for one-year discount bonds with the face value of $1,000 are given by:

B^d : Price = -0.5 Quantity + 1130

B^s : Price = Quantity + 550

Required:

Question 1: What is the equilibrium price and quantity of bonds in this market?

Question 2: What is the interest rate in this market, given your answers above?

Note: Please explain comprehensively and give step by step solution.