Please help me Solve the following system of equations and show all work.

Please show all work

-1/2 and -1

Step-by-step explanation:

Our system of equations is:

y = 2x²

y = -3x - 1

We can set the y's equal to each other:

y = 2x² = -3x - 1

Now, we have:

2x² = -3x - 1

Move all the terms to one side by adding both sides by 3x and 1:

2x² + 3x + 1 = 0

We must factor this quadratic. Note that the factoring is:

(2x + 1)(x + 1) = 0

Our solutions are now:

2x + 1 = 0           OR           x + 1 = 0

x = -1/2                                x = -1

.

Thus, our solutions are -1/2 and -1.

6. 104

7. 52/37

8. 2704

9. 140608

10. -52

11. |52|=52

12. 1/52

13. 156

14. 26

15. 40

16. 37

17. -364

18. 53 1/3

19. 50.96

20. 43 2/3

21. 78

22. 50.75

23. 47.63

24. 163.28

25. 10400

26. 338

27. 208

28. 2704 square inches

29. 312 square meters

30. don't know what its asking, tell me so i can tell you

31. 8490.56

32. 52 degrees would be an acute angle

33. 128 degrees

34. 20.8

35. 39

36. 208