abelxoconda
abelxoconda abelxoconda
  • 24-03-2019
  • Mathematics
contestada

Find three consecutive even integers that sum up to -72.

Respuesta :

gmany
gmany gmany
  • 25-03-2019

Answer:

-26, -24 and -22

Step-by-step explanation:

[tex]n,\ n+2,\ n+4-\text{three consecutive even integers}\\\\\text{The equation:}\\\\n+(n+2)+(n+4)=-72\\\\n+n+2+n+4=-72\qquad\text{combine like terms}\\\\3n+6=-72\qquad\text{subtract 6 from both sides}\\\\3n+6-6=-72-6\\\\3n=-78\qquad\text{divide both sides by 3}\\\\\dfrac{3n}{3}=-\dfrac{78}{3}\\\\n=-26\\\\n+2=-26+2=-24\\\\n+4=-26+4=-22[/tex]

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