acas423350 acas423350
  • 21-11-2019
  • Mathematics
contestada

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

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

Respuesta :

RoyalHarley RoyalHarley
  • 25-11-2019

Answer:

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

Step-by-step explanation:

       Given system of equations :

[tex]y=-x^{2}-x+2;x+y=-2[/tex]

On substituting [tex]y=-2-x[/tex] from second equation in the first equation,

[tex]-2-x=-x^{2}-x+2\\x^{2}=4\\x=\pm2[/tex]

       From first equation, when [tex]x=2[/tex], [tex]y=-4[/tex];

when [tex]x=-2[/tex], [tex]y=0[/tex]

∴ [tex]x=2,y=-4[/tex] and [tex]x=-2,y=0[/tex] are the solutions to the system given.

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