Am having a hard time understanding these concept, can anyone help explain the step by step process for solving questions like this so I can solve similar problems in the future? Thank you..

Assume that the demand for cigarettes is Qd=1600-30P and the supply of cigarettes is Qs=1400+70P. 1. Calculate the equilibrium price and quantity and show them on a supply and demand diagram. 2. Suppose the government levies a $2 tax for each unit of cigarettes sold. Draw this on the diagram and calculate the new equilibrium price and quantity.

3. Calculate the price elasticity of demand given these two price and quantity points. Is the demand for cigarettes price elastic or inelastic on this part of the demand curve? Interpret the elasticity in words (i.e. If the prices rises by 10%, by what percentage will consumption fall?)