yasminrae0606 yasminrae0606
  • 03-11-2017
  • Mathematics
contestada

Check all of the following that are solutions to the system shown below.

y = -x 2 - x + 2 and x + y = -2

(2, -4)
(-2, 4)
(-2, 0)
(0, -2)

Respuesta :

sandrewxuoyrgn4
sandrewxuoyrgn4 sandrewxuoyrgn4
  • 03-11-2017
First, all of them fulfill the second equation. Then, you try the values in the first function. You will find that (-2,0) works, and (2,-4) works.
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Rod44 Rod44
  • 03-11-2017
We can write y=-2-x. So we can write -2-x=-x²-x+2 because y equals both of these expressions, so the expressions must be equal. The x terms cancel out and we’re left with x²=4 so x=2 and y=-2-2=-4; and x=-2 and y=2-2=0. So the ordered pairs are (2,-4) and (-2,0). These are answer options 1 and 3.
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