Question

495. Решите уравнения
1)(х-3 9/13)+5 10/13=12 4/13
2) 13 16/27+(х-2 17/27)=30 5/27​

Answer 1

Переводим смешанные дроби в неправильные:

1) $(x - \frac{48}{13}) + \frac{75}{13} = \frac{160}{13}$

$(x - \frac{48}{13}) = \frac{160}{13} - \frac{75}{13}$

$(x-\frac{48}{13}) = \frac{85}{13}$

$x = \frac{85}{13} + \frac{48}{13}$

$x = \frac{133}{13}$

2) $(\frac{57}{16} - y) + \frac{73}{16} = \frac{87}{16}$

$(\frac{57}{16} - y) = \frac{87}{16} - \frac{73}{16}$

$(\frac{57}{16} - y) = \frac{14}{16}$

$y = \frac{14}{16} + \frac{57}{16}$

$y = \frac{71}{16}$

$y = 4,4375$

3) $\frac{367}{27} + (x-\frac{71}{27}) = \frac{815}{27}$

$(x-\frac{71}{27}) = \frac{815}{27} - \frac{367}{27}$

$(x-\frac{71}{27}) = \frac{448}{27}$

$x = \frac{448}{27} + \frac{71}{27}$

$x = \frac{519}{27}$

4) $(y - \frac{54}{25}) + \frac{107}{25} = \frac{356}{25}$

$(y - \frac{54}{25}) = \frac{356}{25} - \frac{107}{25}$

$(y-\frac{54}{25}) = \frac{249}{25}$

$y = \frac{249}{25} + \frac{54}{25}$

$y = \frac{303}{25}$

$y = 12,12$