30 pts!

1. consider the linear system of equations y = 2/5x - 1 and y = 2/3x – 0.3
a) what is the solution to the system of equations?
(i found this to be (-2.8, -2)
b) verify the solution.
(no idea how to do this)

The random variable x is the number of occurrences of an event over an interval of ten minutes. it can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length. it is known that the mean number of occurrences in ten minutes is 5.3. the appropriate probability distribution for the random variable

3. a sum of $2700 is to be given in the form of 63 prizes. if the prize is of either $100 or $25, find the number of prizes of each type.

Jane has 5 nickels. john has 3 dimes. jane says she has a greater amount of money. with the information given, is she correct?