Respuesta :

[ Answer ]

[tex]\boxed{\bold{X \ = \ 0, \ Y \ = \ 10}}[/tex]

[ Explanation ]

  • System Of Equations [tex]\bold{\left \{ {X \ + \ Y \ = \ 10} \atop {Y \ + \ X \ = \ 10}} \right.}[/tex]

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  • [Substitute] Y = X + 10

[tex]\bold{\begin{bmatrix}x+x+10=10\end{bmatrix}}[/tex]

  • Isolate x for x + x + 10 = 10: x = 0

For y = 10

Substitute x = 0

Y = 0 + 10

0 + 10 = 10

y = 10

  • Solutions

X = 0

Y = 10

[tex]\boxed{\bold{[] \ Eclipsed \ []}}[/tex]