If x = 3, and y = 3, and also z = 4, then we would rephrase this word problem below.
3 + 3 × 4 + 4 = ...
We first do multiplication.
3 by 4 equal 12.
12 plus 4 equal 16.
Then 16 plus 3 equal 19.
19 would be your answer if you use pemdas, if not, it would be 24.
I think it’s 14.5. Sorry if it’s incorrect!
Answer:
The fourth option i.e. 'no solution' is correct.
Step-by-step explanation:
Given the system of equations
![\begin{bmatrix}\frac{2}{3}x+y=6\\ -\frac{2}{3}x-y=2\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D%5Cfrac%7B2%7D%7B3%7Dx%2By%3D6%5C%5C%20-%5Cfrac%7B2%7D%7B3%7Dx-y%3D2%5Cend%7Bbmatrix%7D)
Adding both equations
![-\frac{2}{3}x-y=2](https://tex.z-dn.net/?f=-%5Cfrac%7B2%7D%7B3%7Dx-y%3D2)
![+](https://tex.z-dn.net/?f=%2B)
![\underline{\frac{2}{3}x+y=6}](https://tex.z-dn.net/?f=%5Cunderline%7B%5Cfrac%7B2%7D%7B3%7Dx%2By%3D6%7D)
![0=8](https://tex.z-dn.net/?f=0%3D8)
so the system of equations becomes
![\begin{bmatrix}\frac{2}{3}x+y=6\\ 0=8\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D%5Cfrac%7B2%7D%7B3%7Dx%2By%3D6%5C%5C%200%3D8%5Cend%7Bbmatrix%7D)
0 = 8 is FALSE!
Therefore, the system of equations has no solution.
Thus,
No Solution!
Hence, the fourth option i.e. 'no solution' is correct.
Answer:
The us based motorcycle manufacturer says that it expects to build 140,000 motorcycles this year up from 126,000 last year.
This means the increased production is
144,000 - 126,000 = 18,000
The percentage change in production can
be found using the formula as listed below
PERCENTAGE INCREASE = change / initial × 100
Substitute the values we get
18,000/126,000 × 100
14.28 = percentage increase