1. Systems of Linear Equations in Two Variables
PreCalculus 7-2

2. Two Variable Systems

3. Two Variable Systems

4. (6, 6) Find all solutions of the system 5x + 4y = 54 x – 4y = –18
Two Variable Systems

5. Two Variable Systems

6. (3, -6) (-3, -6) Find all solutions of the system 3x2 + 5y = –3
Two Variable Systems

7. Two Variable Systems

8. Two Variable Systems

9. Two Variable Systems

10. Two Variable Systems

11. Two Variable Systems

12. Two Variable Systems

13. Two Variable Systems

14. Two Variable Systems

15. No Solution Find all solutions of the system 6x + 3y = 12 2x = 8 – y
Two Variable Systems

16. Infinitely Many Solutions
Find all solutions of the system
x = 6 – 2y
3x + 6y = 1
Infinitely Many Solutions
Two Variable Systems

17. Solving Systems 7 mph 7/5 mph
A man rows a boat upstream from one point on a river to another point 7 miles away in 1.75 hours. The return trip, traveling with the current, takes only 50 minutes. How fast does he row relative to the water (in mph) and at what speed is the current flowing?
7 mph
7/5 mph
Solving Systems

18. Solving Systems

19. Solving Systems

20. Solving Systems

21. A vintner fortifies wine that contains 10% alcohol by adding a 60% alcohol solution to it. The resulting mixture has an alcoholic strength of 12% and fills 1100 one-liter bottles. How many liters of wine and of the alcohol solution does he use?
1056 44
Solving Systems

22. Group Work 12
Solving Systems

23. Homework
Pages 469 – 471
9, 13, 17–20, 25, 28, 35, 47, 61, 62
Two Variable Systems