Hello team, I need help solving the following problems in quiz 5: trigonometry. 1-13

please show work

Quiz 5 Questions 1 - 10 are 5 point questions. Questions 11 - 13 are 10 point questions. Please see Quiz Answer Sheet for quiz instructions. Write the augmented matrix for each system Write the system of linear equations for each of linear equations. augmented matrix. 1) -3x + 2y -z=6 -1 5 3x - 5y - z=-9 :) 3 0 1 x - 2y =-5 5 -1 5 - 3 A) None of these A) None of these 1 B) -x - y +5z =21 B 3x +2=-9 5x - y+ 52 =-3 C) -x - y+ 5z=21 -3x +2=-9 C) 5x - y + 2z =-3 D) 3x - y + 5z =21 NUNNGNAGNELL OLLOLLOLLhot 3x +2=-9 5x - y + 52 =-3 D) E) -x - y+ 52 =21 7x + 72=-9 11x - 3y+52 =-3 E) Find the reduced row-echelon form for each system of linear equations. 3) -5x +5y=0 4) x - 4y =4 -x - y=-4 -2x - 3y-32=-5 -2x + 4y+42=-12 A) 1 0 2 013 1 0 0 4 1 0 2 A) 0 1 B) 01 2 0 0 1 -1 0 -8 1 0 0 4 9 01 2 B) 010 0 1 0 -3 0 0 1 -1 0 1 N 1 0 0-4 E) None of these C) 010 0 0 01 -1 D) None of these 1 0 0 4 E) 010 0 0 0 1 9Solve each system of linear equations. 5) x=5y=0 6) 4x-2y=8 3x-3y=12 2x+y+2z=-2 A) (3,-4) B) None of these 2x+4y+5z=1 0 (43 D)(3,3) A) (3,-3,1) E) (51) B) (-3,0,4) 0 (-2,0,1) D) None of these E) (1,-1,-2) 7) dx+2y=12 8) 4x4y-2z=-10 3x+5y=2 x+5y+z=-1 A) None of these ( 2x-4z=-22 C) (4,4 A) (4,1,-3) B) (5,-5,3) B) (1,2) C) None of these D) (4,0,0) E) (3,4,2) 9) Totsakan and Julio are selling cheesecakes for a school fundraiser. Customers can buy pecan cheesecakes and chocolate marble cheesecakes. Totsakan sold 9 pecan cheesecakes and 5 chocolate marble cheesecakes for a total of $257. Julio sold 12 pecan cheesecakes and 8 chocolate marble cheesecakes for a total of $368. Find the cost each of one pecan cheesecake and one chocolate marble cheesecake. A) pecan cheesecake: $28, chocolate marble cheesecake: $27 B) pecan cheesecake: $19, chocolate marble cheesecake: $18 C) pecan cheesecake: $28, chocolate marble cheesecake: $23 D) pecan cheesecake: $18, chocolate marble cheesecake: $19 E) pecan cheesecake: $12, chocolate marble cheesecake: $18 10) Jose's school is selling tickets to a play. On the first day of ticket sales the school sold 14 senior citizen tickets and 11 student tickets for a total of $111. The school took in $70 on the second day by selling 10 senior citizen tickets and 6 student tickets. Find the price of a senior citizen ticket and the price of a student ticket. A) senior citizen ticket: $2, student ticket: $3 B) senior citizen ticket: $4, student ticket: $5 C) senior citizen ticket: $2, student ticket: $8 D) senior citizen ticket: $5, student ticket: $7 E) senior citizen ticket: $5, student ticket: $8 11) How much soil with 24% sand do you need to add to soil with 42% sand in order to make 4 m* of soil with 30% sand? Show your work. Solve by elimination. 12) One 8-oz serving each of brewed coffee, an energy drink, and a cola contains 197 mg of caffeine. One serving of brewed coffee has 6 mg more caffeine than two servings of a cola. One serving of an energy drink contains 37 mg less caffeine than one serving of each of brewed coffee and a cola. Find the amount of caffeine in one serving of each beverage. Show your work. Solve by substitution. Solve this system of linear equations using Gauss-Jordan elimination. Show your work. 13) Sx+4y=-8 2x+5y-5z=10 Sx-3y+z=2