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avatar+479 

What are the solutions to the system of equations?

y=x^2−6x+8

y=−2x+5

Fill answer in the blanks

(_,_) (_,_)

 Dec 18, 2018
 #1
avatar+3994 
+4

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 \(\boxed{(1,3), (3,-1)}.\)

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 Dec 18, 2018
 #2
avatar+479 
+3

thank so much

awsometrunt14  Dec 18, 2018

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