A. 3x + y = 13 → 15x + 5y = 65
x - 5y = 15 → x - 5y = 15
16x = 80
16 16
x = 5
x - 5y = 15
5 - 5y = 15
- 5 - 5
-5y = 10
-5 -5
y = -2
(x, y) = (5, -2)
b. 6x - y = 14
2x + y = 12
8x = 26
8 8
x = 3¹/₄
6x - y = 14
6(3¹/₄) - y = 14
19¹/₂ - y = 14
- 19¹/₂ - 19¹/₂
-y = -5¹/₂
-1 -1
y = 5¹/₂
(x, y) = (3¹/₄, 5¹/₂)
c. 3x - 4y = 22 → 15x - 20y = 110
2x + 5y = 7 → 8x + 20y = 28
23x = 138
23 23
x = 6
3x - 4y = 22
3(6) - 4y = 22
18 - 4y = 22
- 18 - 18
-4y = 4
-4 -4
y = -1
(x, y) = (6, -1)
Step-by-step explanation:
Answer:
the hourly rates are $8 and $10 respectively
Step-by-step explanation:
Given that
The generator rents for 6 hours and the total cost is $48
And, for another job The generator rents for 4 hours and the total cost is $40
We need to find out the hourly rates
For the first one
= $48 ÷ 6 hours
= $8
For the second one
= $40 ÷ 4 hours
= $10
Hence, the hourly rates are $8 and $10 respectively
Answer:
14
Step-by-step explanation:
AT/TB = AV/VC
5/7 = 10/VC
VC = 14
