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Answer:

Step-by-step explanation:

1a. 2x - 4y = 2

   -x  + 4y = 3

x = 5

-5 + 4y = 3

4y = 8

y = 2

(5, 2)

1b. 2x + 3y=1

     -2x + 2y = -6

      5y = -5

       y = -1

     2x - 3 = 1

    2x = 4

    x = 2

   (2, -1)

2a.  x + 2y = 4

       2x - 5y = -1

     -2x - 4y = -8

      2x -  5y = -1

    -9y = -9

      y= 1

2x - 5 = -1

 2x = 4

  x = 2

(2, 1)

2b. 4x + 2y = 4

       x - 2y = -5

       5x = -1

        x= -1/5

    -1/5 - 2y = -5

    -2y = -4 4/5

      y= 12/5

(-1/5, 12/5)

3. 5x + 3y = 85

  11x + 5y = 163

25x + 15y = 425

-33x - 15y = -489

 -8x = -64

x = 8 regular

5(8) + 3y = 85

40 + 3y = 85

3y = 45

y = 15 mini bouquets    

(8 regular, 15 mini bouquets)

4a. 6x + 12y = -6

     18x - 12y = - 162

24x = -168

x = -7

3(-7) - 2y = -27

-21 - 2y = -27

-2y = -6

y= 3

(-7, 3)

4b. 3(6 -y) - 2y = 38

     18 - 3y - 2y = 38

     18 - 5y = 38

    -5y = 20

    y = -4

x = 6 + 4

x = 10

(10, -4)

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