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## For the systems of linear equations in questions 1-3 -Determine how many solutions exist -Use either elimination or substitution to find the solutions (if any) -Graph the two lines, labeling the x-intercepts, y-intercepts, and points of intersection 1. Walt made an extra \$9000 last year from a part-time job. He invested part of the money at a 9% annual rate of interest, and the rest at an 8% annual rate of interest. At the end of the year, he made a total of \$770 in interest. How much was invested at 8%? 2. An express and local train leave GraysLake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of each train. 3. Joe has a collection of nickels and dimes that is worth \$5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be \$10.45. How many dimes does he have?

So these are obviously homework questions so I'm not going to answer them completely however I can help... More
Answered By: Aaron C - 10/12/2006
For each word problem you must first set up equations. using #3 you start by making X and Y equal parts of the problem. X will stand for nickels and Y for dimes... More

1) 0.08x +(9000-x)0.09 = 770 -0.01x = 770-810 x = 40/0.01 = 4000 2)express: 2x = 50; local: y = 50 express travel @ 25mph and local travel @ 50mph 3) 5x + 10y = 565; 5(x+8)+20y = 1045 = > 5x+20y = 1005 10y = 440 => y=40 5x = 565-440 => x=25

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