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)