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Solve by the substitution method. 9x + 4y = - 15 x = 15 - 6y Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution set of the system is { (Simplify your answer. Type an ordered pair.) O B. There are infinitely many solutions. O C. The solution set is the empty set.Find all the local maxima, local minima, and saddle points of the function. f(x,y) = By sin (x) Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. A local maximum occurs at , where n is any integer. (Type an ordered pair. Type an expression using n as the variable. Use a comma to separate answers as needed.) The local maximum value(s) is/are (Type an exact answer. Use a comma to separate answers as needed.) B. There are no local maxima. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. A local minimum occurs at , where n is any integer. (Type an ordered pair. Type an expression using n as the variable. Use a comma to separate answers as needed.) The local minimum value(s) is/are (Type an exact answer. Use a comma to separate answers as needed.) B. There are no local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. A saddle point occurs at , where n is any integer. (Type an ordered pair. Type an expression using n as the variable. Use a comma to separate answers as needed.) O B. There are no saddle points.Find the absolute maximum and minimum of the function on the given domain. f(x,y) = 3x + 2y on the closed triangular plate bounded by the lines x = 0, y = 0, y + 2x =2 in the first quadrant The absolute maximum is (Simplify your answer.)Find the absolute maxima and minima of the function on the given domain. T(xy ) =x + xyty - 12x + 2 on the rectangular plate 0 s x$9, - 5sys0 The absolute maximum occurs at (Type an ordered pair.)Find the absolute maximum and minimum of the function f(x,y) = (8x -2x ) cosy on the rectangular plate 1 s x $ 3, - Sys7 The absolute maximum is