need help with 13,14,16,17,18,19,20,21, and 22 Solve by elimination to find the

Question

need help with 13,14,16,17,18,19,20,21, and 22 Solve by elimination to find the number of each type of ticket sold. 3x - 10y = -25 4x + 40y = 20 7x + 15y = 32 x - 3y = 20 x - 8y = 18 -16x + 16y = - 24x + 2y = 52 6x - 3y = -36 88x - 5y = 39 -8x + 3y = -1 2x + 4y = 8 5x + y = -7 A photo studio offers several different packages. Let w equal the cost of a wallet-sized portrait, and let l equal the cost of an 8 times 10 portrait. Write a system of equations that relates the cost of wallet-sized portrait: 8 times 10 portraits to the cost of the basic and deluxe packages. Find the cost of each type of portrait. Two groups of students order burritos and tacos at a local restaurant. One order of 3 burritos and 4 tacos costs $11.33. The other order of 9 burritos 5 tacos costs $23.56. Write a system of equations that describes this situation. Solve by elimination to find the cost of a burrito and the cost of a taco. 3x + 2y = -9 -10x + 5y = -5 4x + 5y = 15 6x - 4y = 11 3x - 2y = 10 2x + 3y = -2 -2x + 5y = 20 3x -7y = -26 10x + 8y = 2 8x + 6y = 1 9x + 5y = 34 8x - 2y = -2

Explanation / Answer

13) 88x - 5y = 39

-8x + 3y = -1

multiply equation 2 by 11:

-88x +33y =-11

88x -5y = 39

-----------------add

28y = 28 ----> y = 1

-8x + 3y = -1 ----> -8x +3 = -1

-8x = -4 ---> x = 1/2

(x, y) ----> ( 1/2 , 1)

14) 2x + 4y = 8 ----(1)

5x + y = -7 ----(2)

mutliply equation (2) by 4:

20x +4y = -28

2x +4y = 8

-------------- ( subtract)

18x = -36

x = -2

2x + 4y = 8

-4 +4y =8 ----> 4y = 12

y = 3

( x , y) ---( -2 , 3)

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