What are the solutions to the system of equations?
y=x^2−6x+8
y=−2x+5
Fill answer in the blanks
(_,_) (_,_)
Last one, then I have to go.
We have y=x2−6x+8 and y=−2x+5 . We know that both equations are the same, since we have found y in terms of x. Therefore, x2−6x+8=−2x+5 . This time, by factoring we get x=1,x=3, so when x=1, y equals y=−2(1)+5=−2+5=3 and when x=3, y equals y=−2(3)+5,y=−6+5,y=−1. Thus, the ordered pair is (1,3),(3,−1).