Solve the following system by the substitution method. x+y=5 y=x²-7 ..... The solution set is { }. (Type an ordered pair. Use a comma to separate answers as needed. Simplify your answer.)

Government-imposed taxes cause reductions in the activity that is being taxed, which has important implications for revenue collections. To understand the effect of such a tax, consider the monthly market for wine, which is shown on the following graph. Use the graph input tool to help you answer the following questions. You will not be graded on any changes you make to this graph. Note: Once you enter a value in a white field, the graph and any corresponding amounts in each grey field will change accordingly. PRICE (Dollars per case) 50 45 40 35 30 25 20 15 10 5 0 1 Supply Demand 09 18 27 36 45 54 63 72 81 90 QUANTITY (Cases) Graph Input Tool Suppose the government imposes a $10-per-case tax on suppliers. At this tax amount, the equilibrium quantity of wine is Market for Wine Quantity (Cases) Demand Price (Dollars per case) Tax (Dollars per case) 36 30.00 10.00 Supply Price (Dollars per case) cases, and the government collects $ ? 20.00 in tax revenue.

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Government-imposed taxes cause reductions in the activity that is being taxed, which has important implications for revenue collections. To understand the effect of such a tax, consider the monthly market for cigarettes, which is shown on the following graph. Use the graph input tool to help you answer the following questions. You will not be graded on any changes you make to this graph. Note: Once you enter a value in a white field, the graph and any corresponding amounts in each grey field will change accordingly. PRICE (Dollars per pack) 10 9 8 6 2 1 0 0 # Supply Demand 10 20 30 40 50 60 70 80 90 100 QUANTITY (Packs) Graph Input Tool Market for Cigarettes 31- Quantity (Packs) Demand Price (Dollars per pack) (Dollars per pack) Suppose the government imposes a $2-per-pack tax on suppliers. At this tax amount, the equilibrium quantity of cigarettes is Tax 40 6.00 2.00 Supply Price (Dollars per pack) packs, and the government collects $ ? 4.00 in tax revenue.