For Problems 21-30, solve each problem by setting up and solving a system of three linear equations in three variables. (Objective 2)30. A certain diet consists of dishes A, B, and C. Each serving of A has 1 gram of fat, 2 grams of carbohydrate, and 4 grams of protein. Each serving of B has 2 grams of fat, 1 gram of carbohydrate, and 3 grams of protein. Each serving of C has 2 grams of fat, 4 grams of carbohydrate, and 3 grams of protein. The diet allows 15 grams of fat, 24 grams of carbohydrate, and 30 grams of protein. How many servings of each dish can be eaten? VC + x8Subscript notation is frequently used for working with larger systems of equations. For Problems 31-34, use a matrix approach to solve each system. Express the solutions as 4-tuples of the form (X], X2, X3, X4). (Objective 1) ball of addsgiX1 + 2x2 - 3x3 + X4 = -2 34. -2x1 - 3x2 + X3 - X4 = 5 4x1 + 9x2 - 2x3 - 2x4 28 us -5x1 - 9x2+ 2x3 - 3x4 = 14