Asystem of a linear and quadratic equation is shown below.
6x+y=x^2+9
x+y=5
when solving the system algebraically, what is the solution?

The solutions are the points (1,4) and (4,1)

Step-by-step explanation:

we have

----> equation A

----> ---> equation B

substitute equation B in equation A

solve for x

we know that

The formula to solve a quadratic equation of the form

is equal to

in this problem we have

so

substitute in the formula

The solutions are x=1,x=4

Find the values of y

For x=1 ----->    ---->  (1,4)

For x=4 ----->    ---->  (4,1)

therefore

The solutions are the points (1,4) and (4,1)

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

14

step-by-step explanation: