Answer:
He made a mistake in his calculations when simplifying 5x - 2y
Step-by-step explanation:
Given
The coordinate pair
![(x,y) = (2,-2)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%3D%20%282%2C-2%29)
The equations
![7x + 9y = ?](https://tex.z-dn.net/?f=7x%20%2B%209y%20%3D%20%3F)
![5x - 2y = ?](https://tex.z-dn.net/?f=5x%20-%202y%20%3D%20%3F)
Dimitri's Solution
![Equation\ 1: 7x + 9y = -4.](https://tex.z-dn.net/?f=Equation%5C%201%3A%207x%20%2B%209y%20%3D%20-4.)
![7(2) + 9 (-2) = -4.](https://tex.z-dn.net/?f=7%282%29%20%2B%209%20%28-2%29%20%3D%20-4.)
![14 + (-18) = -4.](https://tex.z-dn.net/?f=14%20%2B%20%28-18%29%20%3D%20-4.)
![-4 = -4.](https://tex.z-dn.net/?f=-4%20%3D%20-4.)
![Equation\ 2: 5x -2y = 6.](https://tex.z-dn.net/?f=Equation%5C%202%3A%205x%20-2y%20%3D%206.)
![5(2) - 2 (-2) = 6.](https://tex.z-dn.net/?f=5%282%29%20-%202%20%28-2%29%20%3D%206.)
![10 - 4 = 6.](https://tex.z-dn.net/?f=10%20-%204%20%3D%206.)
![6 = 6.](https://tex.z-dn.net/?f=6%20%3D%206.)
Required
Identify Dimitri’s mistake
In the first equation, Dimitri made no mistake.
However, he made a mistake when simplifying the second equation.
We have:
![5x - 2y](https://tex.z-dn.net/?f=5x%20-%202y)
and
![(x,y) = (2,-2)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%3D%20%282%2C-2%29)
Substitute
and ![y = -2](https://tex.z-dn.net/?f=y%20%3D%20-2)
So, we have:
![5(2) -2(-2)](https://tex.z-dn.net/?f=5%282%29%20-2%28-2%29)
Open bracket
![10 +4](https://tex.z-dn.net/?f=10%20%2B4)
Finally, we have:
![14](https://tex.z-dn.net/?f=14)
The final area will be 392,040 square feet.
The area that is to be subtracted is 110 by 30. If we multiply those, we get 3300 square meet. Now, just subtract that from 395340..
395340 - 3300 = 392040
Answer:
ants is a Cooovvviiddd cases
Step-by-step explanation:
World's dangerous city