Answer:

Step-by-step explanation:
From the graph in the attachment Y has coordinates:Y(3,2)
The transformation rule for a dilation with a scale factor k about the origin is:

In this case we have 
We substitute the coordinates and
to get:

This simplifies to:

The first choice is correct.
Answer:
14
Step-by-step explanation:
The least common multiple is a number that both numbers can multiply something to get to, and the smallest possible common one.
Let's try listing out the multiples of 2:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20
And the multiples of 7:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70
Notice that both have the number 14 in common, and it is the first number that they do so. There are lots of other multiples that they have in common too, but 14 is the least.
12x - 11y = 75 . . . . . . . . (1)
5x - 11y = 89 . . . . . . . . (2)
(1) - (2): 7x = -14
x = -2
From (1): 12(-2) - 11y = 75
-24 - 11y = 75
-11y = 75 + 24 = 99
y = -9
Therefore, x = -2 and y = -9