Question

HWLP ME

The graph shows the system ​ {y=−x+2y=−x2+x+1 .​
Which ordered pair is the solution of the system?
A. (0, 2)
B. (1, 1)
C. (1, 2)
D. (0, 1) ​

Answer 1

b. (1,1)

Step-by-step explanation:

Answer 2

The solution(s) will be when the x and y coordinates are equal so we can say y=y or:

-x^2+x+1=-x+2

x^2-2x+1=0 now factor...

(x-1)^2=0

So the solution occurs when x=1, y(1)=-x+2=-1+2=1, so the solution is the point:

(1,1)