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Solve the system of equations.
y= x + 3
y= x2 - 2x-1

Please help :)

Solve the system of equations. y= x + 3 y= x2 - 2x-1 Please help :)-example-1
User Bnsh
by
5.5k points

1 Answer

3 votes

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Answer:

C. (-1, 2) and (4, 7)

Explanation:

It may be simplest just to try the answer choices.

We notice that y = x+3 is not satisfied by the points in choices A or D, so those can be eliminated.

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The second equation can be written in vertex form as ...

y = (x -1)^2 -2

This equation is not satisfied by the points of choice B.

Using (-1, 4) (from choice B), we get 4 = (-1-1)^2 -2 = 4-2 = 2 . . . FALSE.

However it is a good match for the points of choice C.

Using (-1, 2) (from choice C), we get 2 = (-1-1)^2 -2 = 4 -2 = 2 . . . True

The appropriate choice is ...

(-1, 2) and (4, 7)

Solve the system of equations. y= x + 3 y= x2 - 2x-1 Please help :)-example-1
User Tirso
by
4.9k points