Respuesta:
[tex]x=\frac{1}{5} \\\\y=\frac{22}{5}[/tex]
Explicación paso a paso:
Por reducción
x+2y=9
(3x+y=5)-2
x+2y=9
-6x-2y=-10
-5x=-1
[tex]x=\frac{-1}{-5} \\\\x=\frac{1}{5}[/tex]
[tex]\frac{1}{5} +2y=9\\2y=9-\frac{1}{5} \\\\2y=\frac{45-1}{5} \\\\2y=\frac{44}{5} \\\\y=\frac{\frac{44}{5} }{2} \\\\y=\frac{44}{10} =\frac{22}{5}[/tex]
Comprobación
[tex]\frac{1}{5} +2(\frac{22}{5})=9\\[/tex]
[tex]\frac{1}{5}+\frac{44}{5}=9\\\\\frac{45}{5} =9\\\\9=9[/tex]
[tex]3(\frac{1}{5})+\frac{22}{5}=5\\\\\frac{3}{5}+\frac{22}{5} =5\\\\\frac{25}{5}=5\\\\5=5[/tex]
