+476 What are the solutions to the system of equations?
y=x^2−6x+8
y=−2x+5
Fill answer in the blanks
(_,_) (_,_)
+4622 Last one, then I have to go.
We have \(y=x^2-6x+8\) and \(y=-2x+5\) . We know that both equations are the same, since we have found \(y\) in terms of \(x.\) Therefore, \(x^2-6x+8=-2x+5\) . 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 \(\boxed{(1,3), (3,-1)}.\)
