II x + 3y + 2z = 1| %3D 49. S4x - y = 53. 48. 3x +y+2z = | 2x -y- z = -5 *+y+ z x +2y + 2z = (3x + y = } y + z = 2 2x - 2y- z = 2 x + y - z=0 52. Grams of 51. 4x + 2y – 4z = 0 x + 2y + z=0 2x + 3y + z= 2 56. Protein 3x + 2y 0 %3D 55. 4x + 4y- 4z = -1 2x + y+ % = =D1 Grams of 2x + 2y + z= 6 Carbohyc 54. x-y- Z -2 x- 2y-2z = -5 Grams of %3D 3x + y- Z 57. 2x- y+ z 4x + 2y 58. {2x - y + z = 1 x + 2y + z = Determine create a me carbohydra echelon form (RREF) of the augmented matrix of each of the following systems. Solve each system. If system has no solution, say it is inconsistent. Source: Foc In Problems 59-64, use a graphing utility to find the row echelon form (REF) and the reduced row Departmer the '2. Mixture S (x+y +z = 4 61. x-y N= 0 x+y 3= -1 Christmas 2x 2y + z 2 sy + 2z = 1 2x +y- z 0 59. 60. in three d 1 late chip chocolate (x1-2x2 + 3x3- 4k, X1 +x2 + x3 + x4 = 20 0. %3D 2x +y + z = 6 X 1 cookie tir X2 + x3 + X4 X3 + X4 D X2 - 2x4 = -5 4x2 + 6v, chip. Sal 6 dozen chip coo 62. x-y- z= -3 63. 64. 13 %3D [3x+y+2z = 7 X2 + %; 13. Product its prod 65. Theater Seating The Fox Theatre in St. Louis offers three levels of seating. One group of patrons buys 4 mezzanine tickets and 6 lower balcony tickets for $444. Another group spends $614 for 2 mezzanine tickets, 7 lower balcony tickets, and 8 middle balcony tickets. A third group purchases 3 low- er balcony tickets and 12 middle balcony tickets for $474. What is the individual price of a mezzanine ticket, a lower balcony ticket, and a middle balcony ticket? 68. Cost of Fast Food One group of people purcia case of machin dogs and 5 soft drinks at a cost of $12.50. A seu seca in the bought 7 hot dogs and 4 soft drinks at a cost of V times a the cost of a single hot dog? A single soft drink 1 minu cleanir 69. Financial Planning Carletta has $10,000 to ima financial consultant, you recommend that she Treasury Bills that yield 6%, Treasury Bonds that and corporate bonds that yield 8%. Carletta want annual income of $680, and the amount invested 4. Produ case. It utes, t Sources: Fox Theatre, St. Louis, Missouri, 2002; MetroTix, 2003. 66. Mixture A store sells almonds for $6 per pound, cashews for $5 per pound, and peanuts for $2 per pound, machi juice a rate paint