Respuesta :

The two numbers are [tex]-2[/tex] and [tex]-14[/tex].

It is given that,

  • Sum of two numbers is negative sixteen.
  • One number is seven times the other.

Explanation:

Let [tex]x[/tex] be the one number. Then the second number is [tex]7x[/tex].

Sum of two numbers is negative sixteen.

[tex]x+7x=-16[/tex]

[tex]8x=-16[/tex]

[tex]x=\dfrac{-16}{8}[/tex]

[tex]x=-2[/tex]

The value of other number is:

[tex]7(-2)=-14[/tex]

Thus, the two numbers are [tex]-2[/tex] and [tex]-14[/tex].

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