Solution: (2,8)
Using the elimination method set up the system of equations like:
y = x + 6
y = 3x + 2
Eliminate the x-variable by multiplying the top equation by -3
-3y = -3x -18
y = 3x + 2
Combine terms:
-2y = -16
-y = -8
y = 8
Plug in 8 to one of the first equations for y
8 = 3x + 2
6 = 3x
x = 2
Solution: (2,8)
Answer: Without replacing
Step-by-step explanation:
If you don't replace the first red marble, it decreases the number of red marbles in the mix, making the proportion of blue marbles relatively larger. For example, if there were 5 red and 5 blue marbles, there would be a 50% chance of drawing a blue marble. If the red drawn is not replaced, there is a 5/9 chance of drawing a blue marble, or a 55% chance of drawing one.
The LCM of 3 and 4 is 12.
I hope this helps and have a good night! :D
Factor out 12x^3y^2
12x^3y^2(3y^2+5x^ 2 y z^2 -1)
Answer:
Step-by-step explanation:
