Explicación paso a paso:
[tex] \frac{x}{2} + \frac{x}{5} = 70 \\ busca \: común \: denominador \\ \frac{x}{2} \times \frac{5}{5} = \frac{5x}{10 } \\ \frac{x}{5} \times \frac{2}{2} = \frac{2x}{10} \\ ahora \: tenemos \: fracciones\: \\ equivalentes \: \\ \frac{5x}{10} + \frac{2x}{10} = 70 \\ \frac{5x + 2x}{10} = 70 \\ 5x + 2x = 700 \\ 7x = 700 \\ x = \frac{700}{7} = 100[/tex]
comprueba
[tex] \frac{100}{2} + \frac{100}{5} = 50 + 20 = 70[/tex]
espero te sirva
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Explicación paso a paso:
[tex] \frac{x}{2} + \frac{x}{5} = 70 \\ busca \: común \: denominador \\ \frac{x}{2} \times \frac{5}{5} = \frac{5x}{10 } \\ \frac{x}{5} \times \frac{2}{2} = \frac{2x}{10} \\ ahora \: tenemos \: fracciones\: \\ equivalentes \: \\ \frac{5x}{10} + \frac{2x}{10} = 70 \\ \frac{5x + 2x}{10} = 70 \\ 5x + 2x = 700 \\ 7x = 700 \\ x = \frac{700}{7} = 100[/tex]
comprueba
[tex] \frac{100}{2} + \frac{100}{5} = 50 + 20 = 70[/tex]
espero te sirva