1.Solve the following system by the addition method X^2+y^2= 45 (X-7)^2+y^2= 10 2.For the equation, x + 3xy - 3y^2- 6=0, answer the following questions a. Rewrite the equation in a rotated x' y'-system without an x'y'-term. Use the appropriate rotation formulas b. Express the equation involving x' and y' in the standard form of a conic section. c. Use the rotated system to graph the system. 3. For the equation, 33x^2- 24xy + 40y^2- 24 = 0, answer the following questions. a. Rewrite the equation in a rotated x'y'-system without an x'y'-term. Use the appropriate rotation formulas. b. Express the equation involving x' and y' in the standard form of a conic section. 4.For the equation, X^2+ xy + y^2- 11 = 0, answer the following questions. a. Rewrite the equation in a rotated x'y'-system without an x'y'-term. Use the appropriate rotation formulas. b. Express the equation involving x' and y' in the standard form of a conic section c. Use the rotated system to graph the equation