Need help
Determine the solution to the system of equations given below.
y=x^2-5x+15
y=-x+10
A.
(–2, 9)
B.
(2, 9)
C.
(2, 0) and (9, 0)
D.
no solution

Question

Need help
Determine the solution to the system of equations given below.
y=x^2-5x+15
y=-x+10
A.
(–2, 9)
B.
(2, 9)
C.
(2, 0) and (9, 0)
D.
no solution

anonymous · Answer

The solution to the system is the intersection points of the graphs of those functions.

First, you have to find the x-coordinate of the intersection point. Substitute the equation 1 in equation 2 using the y-variable, so it will be like this: $\sf x^2-5x+15 = -x+10$

Now simplify that equation and tell me what you will get for the x value.

anonymous · Answer

i got 2

anonymous · Answer

-x+10=x^2-5x+15 
X^2-4x+5=0
Delta=b^2-4ac
16-4*15=-44
Delta<0 no solution  
Answer is D