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)
