How many solutions does the
given system have?
x – y = -4
y = -x2 + x.

9514 1404 393

  none

Step-by-step explanation:

The equations describe curves that do not intersect. There are no real solutions.

_____

Additional comment

The system is consistent, not dependent, and of degree 2, so there will be two solutions. There are no real solutions, so the two solutions are complex: (-2i, 4-2i) and (2i, 4+2i).

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068