Find the Equilibrium

A new high pressure bicycle tire has been developed.  At $15 apiece Kyle's customers will want to purchase two such tires per day.  If he lowered his price to $5 he could sell eight tires per day.

Two Tired, Inc., Kyle's supplier, manufactures these tires.  When the price is $5 they will offer only two tires to the market.  If they could get $15 per tire then they would offer 10 tires.

The graph plots the data described in the above two paragraphs. The black line is a demand curve.  The red line is the supply curve.  It is your job to find the equilibrium price and quantity.  You can do it by 'hit-or-miss' by plugging in trial values for P_equil and Q_equil.  Or you can find the equations for the supply and demand curves and solve them for P_equil and Q_equil.