Answer:
x = -5, y = 4, z = 3
Step-by-step explanation:
(1) 3x + y + 3z = -2
(2) 6x + 2y + 9z = 5
(3) -2x - y - z = 3
Step 1. Eliminate one of the variables in two of the equations
6x + 2y + 9z = 5 Subtract twice Equation (1)
6x + 2y + 6z = -4 from Equation (2)
3z = 9
z = 3
Step 2. Set up two new equations in two variables
3x + y + 9 = -2 Substitute z
-2x - y - 3 = 3 into (1) and (3)
(4) 3x + y = -11 Add Equations
(5) -2x - y = 6 (4) and (5)
x = -5
Step 3. Substitute x and z into one of the original equations
Substitute into (3)
-2(-5) - y - 3 = 3
10 - y - 3 = 3
7 - y = 3
- y = -4
y = 4
The solutions are x = -5, y = 4, z = 3.
Check:
(1) 3(-5) + 4 + 3(3) = -2
-15 + 4 + 9 = -2
-2 = -2
(2) 6(-5) + 2(4) + 9(3) = 5
-30 + 8 + 27 = 5
5 = 5
(3) -2(-5) - 4 - 3 = 3
10 - 4 - 3 = 3
3 = 3
Answer: 700 yards of fencing (assumed).
Step-by-step explanation:
To be able to calculate the number of yards that Farmer Johnson needs, you will have to know the dimensions of the field.
I will therefore assume certain figures and you can use it as a reference.
Assume that the field is a rectangular field that measures 200 yards in length and 150 yards in breath.
This means that the amount of yards needed will be the perimeter of the yard:
Perimeter = (Length * 2) + (Width * 2)
= (200 * 2) + ( 150 * 2)
= 400 + 300
= 700 yards of fencing.
Answer:
B. They are recorded when owed
Step-by-step explanation:
Hope this helps
Answer: Option 'E' is correct.
Step-by-step explanation:
Since we have given that
If the length of one piece of rope is 2.8 meters shorter than the length of the other.
Let the length of first piece be 'x'.
Let the length of second piece be 'x-2.8'
Total length of rope = 20.6
So, According to question, it becomes,
So, the greatest number of the length of part of rope is 11.7 m.
Hence, Option 'E' is correct.
Answer:
C.) 13
Step-by-step explanation:
x + 16 + 11x = 172
16 + 12x = 172
12x = 156
156/12
x = 13