Set up a linear system and solve for the following problems:

1.The sum of two integers is 41 and their difference is 5. Find the integers.

2.The sum of two integers is 74. The larger is 13less thantwice the smaller. Find the two integers.

3.A $5,000principal is invested in two accounts, one earning 1% interest and another earning 6% interest. If the total interest for the year is $170, then how much is invested in each account?

4.A cash register contains $10 bills and $50 bills with a total value of $1080. If there are 28bills total, then how many of each does the register contain?

5.Pensare sold in a local store for 80cents each. The factory has $1200 in fixed costs plus 5cents of additional expense for each penmade. Assuming all pensmanufactured can be sold, find the break-even point.