Solve the following system of linear equations. (9x - 3y = 24

11x + 2y = 1 B. Solve the following system of linear inequalities by the graphical method. (y > - x - 2

y < - 5x + 2 C. Solve and analyze the following problems. Make sure all the steps are properly justified. Correctly use mathematical notation or terminology. Interpret the solution in the context of the problem.

a. One restaurant serves two types of fish dinners: small at $ 5.99 and large at $ 8.99. One day, there were 134 total fish orders and the total revenue from these 134 orders was $ 1,024.66. How many small fish dinners and how many large fish dinners were ordered? b. Suppose the supply and demand equation for baseball caps for a particular week is given by p = 0.4q + 3.2 (supply equation) p = -1.9q + 17 (demand equation) where p is the price in dollars and q is the quantity in hundreds. Determine supply and demand if the caps cost $ 4.00 each. c. Suppose the long-life bulb supply equation is given by p = 1.04 q - 7.03 and that the demand equation for the light bulbs is p = -0.81q + 7.5, where q is in thousands of cases. Find the equilibrium price and quantity, and graph the two equations in the same coordinate system.