Answer:
x = 3 and y = 1
Step-by-step explanation:
The given equations are :
6x + 14y = 32 ...(1)
6x - 14y = 4 .....(2)
Add equation (1) and (2) :
6x + 14y + 6x - 14y = 32 + 4
12x = 36
x = 3
Put the value of x in equation (1)
6(3) + 14y = 32
18 + 14y = 32
14y = 32-18
14y = 14
y = 1
Hence, the value of x is 3 and y is 1.
Answer:
D
Step-by-step explanation:
Assuming that each marble can be picked with equal probability, we notice that there is a total of

marbles, of which 2 are red.
So, the probability of picking a red marble is

In fact, as in any other case of (finite) equidistribution, we used the formula

Answer:
245.84
Step-by-step explanation:
i hope this helps
Answer: System 1 has an infinite number of solutions and System II has no solutions.
Step-by-step explanation:
If we look at system 1, we see that if we multiply the first equation by 2 and subtract the y value so that its on the same side as x, the equations are the same. That means that no matter the x or y value, it will be a solution.
If we look at system 2, however, we see that if we multiply the top equation by 3, the equations are the exact same except for the fact that the top equation has a -21. This means that no matter the x or y, there will never be a solution.