Divide the first equation by 2 and add the result to the second equation. This will eliminate x.
... (-4x -2y)/2 + (2x +4y) = (-12)/2 +(-12)
... 3y = -18 . . . . . collect terms
... y = -6 . . . . . . . divide by 3
Substitute this into either equation to find x. Let's use the second equation, where the coefficient of x is positive.
... 2x +4(-6) = -12
... 2x = 12 . . . . . . . . add 24
... x = 6 . . . . . . . . . . divide by 2
The solution is (x, y) = (6, -6).
Aaron's plane flew 3.21 meters further than Noah's plane.
<u><em>Explanation</em></u>
Aaron's plane flew 4 meters and Noah's plane flew 79 centimeters.
So, first we need to <u>convert 79 centimeters into meters</u>.
We know that, 1 centimeter = 0.01 meter
So, 79 centimeters = 
Now, the difference of distance between Aaron's plane and Noah's plane is 
The amount of the discount was $140.
<u>Answer:</u>
Probability of getting three jacks = 
<u>Step-by-step explanation:</u>
It is given that you deal three cards from a regular deck which contains 52 cards.
We are to find the probability of getting all three Jack cards.
We know that there are a total of 4 jacks in a regular deck of 52 cards.
Therefore, the probability of getting three jacks = 