Verified answer

Ответ:

[tex]x=-\frac{43}{50}[/tex]

Пошаговое объяснение:

1)

[tex]-1\frac{14}{25} -x=3\frac{7}{10} -4\frac{2}{5} \\\\-1\frac{14}{25} -x+1\frac{14}{25} =3\frac{7}{10} -4\frac{2}{5} +1\frac{14}{25} \\\\-x =3\frac{7}{10} -4\frac{2}{5} +1\frac{14}{25}[/tex]

2)

[tex]3\frac{7}{10} -4\frac{2}{5} +1\frac{14}{25} =\frac{3*10+7}{10} -\frac{4*5+2}{5} +\frac{1*25+14}{25}=\frac{37}{10} -\frac{22}{5} +\frac{39}{25} = \\\\ =\frac{37*5}{10*5} -\frac{22*10}{5*10} +\frac{39*2}{25*2} = \frac{185}{50} -\frac{220}{50} +\frac{78}{50} = \frac{43}{50}[/tex]

3)

[tex]-x=\frac{43}{50} \\\\x=-\frac{43}{50}[/tex]

Ответ:

-43/50

Пошаговое объяснение:

-1 14/25 - х = 3 7/10 - 4 2/5

-1 14/25 - х = 3 7/10 - 4 4/10

-1 14/25 - х = 3 7/10 - 3 14/10

-1 14/25 - х = -7/10

х = -1 14/25 - (-7/10)

х = -1 14/25 + 7/10

х = -1 28/50 + 35/50

х = -78/50 + 35/50

х = -43/50