Explicación paso a paso:
pasa los decimales a fraccionario
[tex]0.8 \times \frac{10}{10} = \frac{8}{10} \\ 0.2 \times \frac{10}{10} = \frac{2}{10 } \\ 2.2 \times \frac{10}{10} = \frac{22}{10} \\ 0.4 \times \frac{10}{10} = \frac{4}{10} \\ 3.2 \times \frac{10}{10} = \frac{32}{10} [/tex]
queda
[tex] \frac{8}{10} x - \frac{2}{10} y = \frac{22}{10} \\ 8x - 2y = 22 \\ 8x = 22 + 2y \\ x = \frac{22 + 2y}{8} [/tex]
[tex] \frac{4}{10} x + 2y = \frac{32}{10} \\ \frac{4}{10} x + \frac{20y}{10} = \frac{32}{10} \\ 4x + 20y = 32 \\ 4x = 32 - 20y \\ x = \frac{32 - 20y}{4} [/tex]
igualamos
[tex] \frac{22 + 2y}{8} = \frac{32 - 20y}{4} \\ 88 + 8y = 256 - 160y \\ - 256 + 88 = - 160 - 8y \\ - 168 = - 168y \\ 168y = 168 \\ y = \frac{168}{168} = 1 \\ y = 1[/tex]
hallamos x
[tex]x = \frac{32 - 20y}{4} = \frac{32 - 20 \times 1}{4} = \\ \frac{32 - 20}{4} = \frac{12}{4} = 3 \\ x = 3[/tex]
espero te sirva
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
Explicación paso a paso:
pasa los decimales a fraccionario
[tex]0.8 \times \frac{10}{10} = \frac{8}{10} \\ 0.2 \times \frac{10}{10} = \frac{2}{10 } \\ 2.2 \times \frac{10}{10} = \frac{22}{10} \\ 0.4 \times \frac{10}{10} = \frac{4}{10} \\ 3.2 \times \frac{10}{10} = \frac{32}{10} [/tex]
queda
[tex] \frac{8}{10} x - \frac{2}{10} y = \frac{22}{10} \\ 8x - 2y = 22 \\ 8x = 22 + 2y \\ x = \frac{22 + 2y}{8} [/tex]
[tex] \frac{4}{10} x + 2y = \frac{32}{10} \\ \frac{4}{10} x + \frac{20y}{10} = \frac{32}{10} \\ 4x + 20y = 32 \\ 4x = 32 - 20y \\ x = \frac{32 - 20y}{4} [/tex]
igualamos
[tex] \frac{22 + 2y}{8} = \frac{32 - 20y}{4} \\ 88 + 8y = 256 - 160y \\ - 256 + 88 = - 160 - 8y \\ - 168 = - 168y \\ 168y = 168 \\ y = \frac{168}{168} = 1 \\ y = 1[/tex]
hallamos x
[tex]x = \frac{32 - 20y}{4} = \frac{32 - 20 \times 1}{4} = \\ \frac{32 - 20}{4} = \frac{12}{4} = 3 \\ x = 3[/tex]
espero te sirva