Solve the following system. y = x 2 - 9x + 10 and x + y + 5 = 0. the solutions are

Solution are ( 3,-8) (5 , -10).

Step-by-step explanation:

Given :  y = x² - 9x + 10 and x + y + 5 = 0.

To find : Solve the following system.

Solution : We have given that

y = x² - 9x + 10 ( equation 1)

x + y + 5 = 0( equation 2)

First we will solve equation 2 for y

on subtraction both sides by 5

x + y = -5

on subtracting both sides by x

y = -5 -x .

Now plug the value of y in equation 1

-5 -x = x² - 9x + 10

x² - 9x + x +5 + 10 = 0

x² - 8x + 15 = 0

Factoring  x² - 5x- 3x + 15 = 0

x ( x -5) -3 (x -5) =0

On grouping (x -3) (x -5)

For x = 3

y = -3 - 5

y = -8.

For x = 5

y = -5 -5

y = -10.

Solution are ( 3,-8) (5 ,- 10)

Therefore, Solution are ( 3,-8) (5 ,-10).

i need a diagram

step-by-step explanation:

no

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