1. Milagros Duran & Keslie Chapa December 18, 2013 7+8A

2. A pair of boots and a pair of tennis shoes cost $196.12. The difference in their cost is $44.38. Determine the cost of each. Problem Situation

3. Define Variables X= cost of a pair of boots Y= cost of a pair of tennis shoes

4. X –Y = 44.38 System of Equations X + Y = 196.12

5. Elimination Add the equations to eliminate the variable Y. Solution Method

6. X + Y = 196.12 Add the equations X –Y = 44.38 2X = 240.50 X = 120.25 Step 1 of Solution

7. X + Y = 196.12 Rewrite knowing that X equals 120.25 120.25 + Y = 196.12 Subtract 120.25 from both sides. Y = 75.87 Step 2 of Solution

8. (X, Y) (120.25, 75.87) Solution to the System of Equations

9. 151.74+44.38=196.12 Check of Solution

10. The cost of a pair of boots is $120.25. The cost of a pair of tennis shoes is $75.87. Solution in the Problem Situation