Answer: x = 0
y = 2
z = -1
Step-by-step explanation:
The system of equations are
x+y+z=1 - - - - - - - - - - 1
-2x+4y+6z=2 - - - - - - - - - 2
-x+3y-5z=11 - - - - - - - - - 3
Step 1
We would eliminate x by adding equation 1 to equation 3. It becomes
4y -4z = 12 - - - - - - - - - 4
Step 2
We would multiply equation 1 by 2. It becomes
2x + 2y + 2z = 2 - - - - - - - - - 5
We would add equation 2 and equation 5. It becomes
6y + 8z = 4 - - - - - - - - - 6
Step 3
We would multiply equation 4 by 6 and equation 6 by 4. It becomes
24y - 24z = 72 - - - - - - - - 7
24y + 32z = 16 - - - - - - - - 8
We would subtract equation 8 from equation 7. It becomes
-56z = 56
z = -56/56 = -1
Substituting z = -1 into 7, it becomes
24y - 24×-1 = 72
24y + 24 = 72
24y = 72 - 24 = 48
y = 48/24 = 2
Substituting y = 2 and z = -1 into equation 1, it becomes
x + 2 - 1 = 1
x = 1 - 1 = 0
Answer:
C. 4928 in2
Step-by-step explanation:
88 X 56 = 4928 in2
144 is a square of 12
Hope this helps!
P-81
q-135
r-189
find out how many inches the rope is then divide by 15 total parts then multiply each ratio by that
Option C: x = 5.5 is the value of x
Explanation:
Given that CD, AE, an BF are the medians of the triangle ABC
Also, given that
and ![ME=x+3](https://tex.z-dn.net/?f=ME%3Dx%2B3)
We need to determine the value of x.
Since, we know that the centroid divides the median in the ratio 2 : 1
Hence, we have,
![AM=2\times ME](https://tex.z-dn.net/?f=AM%3D2%5Ctimes%20ME)
Substituting the values, we get,
![4x-5=2(x+3)](https://tex.z-dn.net/?f=4x-5%3D2%28x%2B3%29)
Simplifying, we get,
![4x-5=2x+6](https://tex.z-dn.net/?f=4x-5%3D2x%2B6)
Subtracting both sides of the equation by 2x, we have,
![2x-5=6](https://tex.z-dn.net/?f=2x-5%3D6)
Adding both sides of the equation by 5, we have,
![2x=11](https://tex.z-dn.net/?f=2x%3D11)
Dividing both sides of the equation by 2, we get,
![x=5.5](https://tex.z-dn.net/?f=x%3D5.5)
Therefore, the value of x is 5.5
Hence, Option C is the correct answer.