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espero te sirva
![\frac{a}{b} = \frac{4}{7} \\ a = \frac{4}{7} \\ 2a + 5b = 258 \\ 2( \frac{4}{7} ) \: + 5b = 258 \\ \frac{8}{7} b + 5b = 258 \\ \frac{8b + 35b}{7} = 258 \\ \frac{43b}{7} = 258 \\ 43b = 258 \times 7 = 1806\\ b = \frac{1806}{43} = 42 \\ b = 42 \frac{a}{b} = \frac{4}{7} \\ a = \frac{4}{7} \\ 2a + 5b = 258 \\ 2( \frac{4}{7} ) \: + 5b = 258 \\ \frac{8}{7} b + 5b = 258 \\ \frac{8b + 35b}{7} = 258 \\ \frac{43b}{7} = 258 \\ 43b = 258 \times 7 = 1806\\ b = \frac{1806}{43} = 42 \\ b = 42](https://tex.z-dn.net/?f=+%5Cfrac%7Ba%7D%7Bb%7D++%3D++%5Cfrac%7B4%7D%7B7%7D++%5C%5C++a+%3D++%5Cfrac%7B4%7D%7B7%7D++%5C%5C+2a+%2B+5b+%3D+258+%5C%5C+2%28+%5Cfrac%7B4%7D%7B7%7D+%29+%5C%3A++%2B+5b+%3D+258+%5C%5C++%5Cfrac%7B8%7D%7B7%7D+b+%2B+5b+%3D+258+%5C%5C+++%5Cfrac%7B8b+%2B+35b%7D%7B7%7D++%3D+258+%5C%5C++%5Cfrac%7B43b%7D%7B7%7D++%3D+258+%5C%5C+43b+%3D+258++%5Ctimes+7++%3D+1806%5C%5C+b+%3D++%5Cfrac%7B1806%7D%7B43%7D++%3D+42+%5C%5C+b+%3D+42)
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