Systems of Linear Equations

1. Solve the system of linear equations.  solution \[ \displaystyle{x=3y-1,   2x-3y=7}\]

2. Janet bought 135 pieces of candy to give away on Halloween. She bought two kinds of candy, paying $.24 apiece for Blow Pops and $.18 for Tootsie Pops. If she spent $26.70 for the candy, how many pieces of each kind did she buy?  solution

3.  Mr. Jones invested a total of  $30,000 in two ventures for a year. The annual return from one of them was 8%, and the other paid 10.5% for the year. He received a total income of $2550 from both investments. How much did he invest at each rate?   solution