So we are given a system:

Substitute x = 2 we get the system:

Multiply the first equation by -5 and the second by 2 we get the system:

Adding the two equations we get :

We find the value of y by using any of the other equations like this:

Final solution:
#1 is incorrect. The first equation says that his grandmother is not more than 80 years old. If you confine yourself to whole numbers, then she could be 80 but not more. That inequality should be written as g < 81 or if you are a purist, g≤ 80.
The second equation is correct. At the very most her age is equal to 3k - 3 so at most it would be written as g = 3k - 3.
Since it is not that much, you would write it as g ≤ 3k - 3
Answer: The drive was 24.32% full when the transfer began.
Step-by-step explanation:
Given: The rate of transferring file = 4.44 megabytes per second.
After 32 seconds, the amount of data on the drive = 384 megabytes
The amount of transferred data =
megabytes
Therefore, the amount of data in the drive at the beginning is given by :-

The drive had a maximum capacity of 1000 megabytes.

Hence, the drive was 24.32% full when the transfer began.
First, determine the center of the circle by getting the midpoint of the points given for the circumference.
midpoint = ((0 + 0)/2, (3 + -4)/2)
midpoint (0, -0.5)
Then, we get the radius by determining the distance from either of the circumferential point to the center.
radius = √(0 - 0)² + (3 +4)² = 7
The equation for the circle would be,
x² + (y + 0.5)² = 7²