SOLUTION: Solve the system and graph the curves: e) x^2+y^2 = 2 ;and x-y = 4

Question 1048631: Solve the system and graph the curves:
e) x^2+y^2 = 2 ;and
x-y = 4
Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
.
Solve the system and graph the curves:
x^2+y^2 = 2 ;and
x-y = 4
~~~~~~~~~~~~~~~~~~~~

 = 2,     (1)
x-y = 4          (2)

Express x = 4 + y from (2) and substitute it into (1). You will get

 = 2,  or

 = 2,  or

 = 0,  or

 = 0.

Apply the quadratic formula. You will get

 =  = .

There are no real solutions.

See the plot

Plots y = , y = (red+green) and y = x-4 (blue).

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