Explicación paso a paso:
[tex]4x + y = 7 \\ y = 7 - 4x \\ 3x + 2y = 8 \\ 3x + 2(7 - 4x) = 8 \\ 3x + 14 - 8x = 8 \\ 14 - 5x = 8 \\ - 5x = 8 - 14 \\ - 5x = - 6 \\ 5x = 6 \\ x = \frac{6}{5} [/tex]
[tex]y = 7 - 4x = 7 - 4 \times \frac{6}{5} = \\ = 7 - \frac{24}{5} = \frac{35}{5} - \frac{24}{5} = \frac{11}{5 } \\ y = \frac{11}{5} [/tex]
[tex]3 \times \frac{6}{5} + 2 \times \frac{11}{5} = \frac{18}{5} + \frac{22}{5} = \frac{40}{5} = 8[/tex]
[tex]4 \times \frac{6}{5} + \frac{11}{5} = \\ = \frac{24}{5} + \frac{11}{5} = \frac{35}{5} = 7[/tex]
espero te sirva
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Explicación paso a paso:
[tex]4x + y = 7 \\ y = 7 - 4x \\ 3x + 2y = 8 \\ 3x + 2(7 - 4x) = 8 \\ 3x + 14 - 8x = 8 \\ 14 - 5x = 8 \\ - 5x = 8 - 14 \\ - 5x = - 6 \\ 5x = 6 \\ x = \frac{6}{5} [/tex]
[tex]y = 7 - 4x = 7 - 4 \times \frac{6}{5} = \\ = 7 - \frac{24}{5} = \frac{35}{5} - \frac{24}{5} = \frac{11}{5 } \\ y = \frac{11}{5} [/tex]
[tex]3 \times \frac{6}{5} + 2 \times \frac{11}{5} = \frac{18}{5} + \frac{22}{5} = \frac{40}{5} = 8[/tex]
[tex]4 \times \frac{6}{5} + \frac{11}{5} = \\ = \frac{24}{5} + \frac{11}{5} = \frac{35}{5} = 7[/tex]
espero te sirva