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anonymous
 one year ago
Solve the system by any method. Please show your steps.
y=x+2
y=x^2
anonymous
 one year ago
Solve the system by any method. Please show your steps. y=x+2 y=x^2

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Substitute the expression for y from the first equation into the second equation and solve for x. Just as before.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Not quite. From the first equation, we know that y=x+2. So in the second equation, put x+2 in place of y.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The important point here is to recognize the meaning of the equals sign(=). The equation y=x+2 means that y and x+2 are exactly the same. That means that wherever we have y, we could replace it with x+2 and vice versa. Make sense?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So the second equation can be written\[x+2=x ^{2}\]Can you solve this for x?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Great. What do you get?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Perfect. Now, take of these xvalues and substitute them into either of the given equations to solve for y. What do you get?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0im not sure what the soultion would be? @ospreytriple

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Sorry, was away for a sec. Take the first equation, y=x+2. Evaluate it for x=2 and for x=1. There will be two solutions. What are they?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i dont think that correct set up

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0There is no need to use the variable x any more. You've already determined the value of x. Remember the meaning of the equals sign. By saying x=2, that means that we can replace x with 2. So the first equation becomes y=2+2 for x=2 and it becomes y=1+2 for x=1. Now, what do you get for y?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That's one solution. What's the other one? (when x=2)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Excellent. This system of equations has two solutions (1, 1) and (2, 4). Both these solutions satisfy both equations. Well done.
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