Answer:
B) consistent, dependent
Step-by-step explanation:
The given system is
45x - 30y = -90
-12x + 8y = 24
Let us make y the subject in both equations to get:
Top equation
![y = \frac{3}{2}y + 3](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B3%7D%7B2%7Dy%20%2B%203)
Bottom equation
![y = \frac{3}{2}x + 3](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B3%7D%7B2%7Dx%20%2B%203)
We can see that both equations are identically the same.
There is going to be infinitely many solutions.
We say the system is consistent and dependent.
The correct choice is B
The answer Would be 1 or incase infinite solution
Answer:
C
Step-by-step explanation:
It’s c x=5 that what it is lol
Answer:
![Area = 968000cm^2](https://tex.z-dn.net/?f=Area%20%3D%20968000cm%5E2)
Step-by-step explanation:
To be able to answer this question properly. I'll assume the length of the room is in meters.
So for the room, we have:
![Length = 12.8m](https://tex.z-dn.net/?f=Length%20%3D%2012.8m)
![Breadth = 850cm](https://tex.z-dn.net/?f=Breadth%20%3D%20850cm)
For the bed, we have:
![Length = 300cm](https://tex.z-dn.net/?f=Length%20%3D%20300cm)
![Breadth = 400cm](https://tex.z-dn.net/?f=Breadth%20%3D%20400cm)
First, we calculate the surface area of the room.
![A_1 = 12.8m * 850cm](https://tex.z-dn.net/?f=A_1%20%3D%2012.8m%20%2A%20850cm)
Convert all units to cm
![A_1= 12.8*100cm * 850cm](https://tex.z-dn.net/?f=A_1%3D%2012.8%2A100cm%20%2A%20850cm)
![A_1= 1 088 000 cm^2](https://tex.z-dn.net/?f=A_1%3D%201%20088%20000%20cm%5E2)
Next, we calculate the area of the bed
![A_2 = 300cm * 400cm](https://tex.z-dn.net/?f=A_2%20%3D%20300cm%20%2A%20400cm)
![A_2 = 120000cm^2](https://tex.z-dn.net/?f=A_2%20%3D%20120000cm%5E2)
The area of the space left is the difference between A1 and A2
![Area = A_1 - A_2](https://tex.z-dn.net/?f=Area%20%3D%20A_1%20-%20A_2)
![Area = 1088000cm^2 - 120000cm^2](https://tex.z-dn.net/?f=Area%20%3D%201088000cm%5E2%20-%20120000cm%5E2)
![Area = 968000cm^2](https://tex.z-dn.net/?f=Area%20%3D%20968000cm%5E2)