Question

10. Реши уравнения

18/30-х=4/30+6/30
(13/67+6/67)-x=9/67
10/15+(5/15-х)=14/15

Дам 17 баллов

Answer 1

Ответ:

1)   18/30-х=4/30+6/30          $\displaystyle \boldsymbol {x=\frac{4}{15} }$

2) (13/67+6/67)-x=9/67         $\displaystyle \boldsymbol{x=\frac{10}{67} }$

2) 10/15+(5/15-х)=14/15         $\displaystyle \boldsymbol {x= \frac{1}{15} }$

Пошаговое объяснение:

1)

18/30-х=4/30+6/30

$\displaystyle \frac{18}{30} -x=\frac{4}{30} +\frac{6}{30} \\\\\\x = \frac{18}{30} -\frac{4}{30} -\frac{6}{30} \\\\\\x=\frac{18-4-6}{30} \\\\\\\boldsymbol {x=\frac{4}{15} }$

2)

(13/67+6/67)-x=9/67

$\displaystyle \bigg(\frac{13}{67} +\frac{6}{67} \bigg)-x = \frac{9}{67} \\\\\\\frac{19}{67} -x=\frac{9}{67}\\\\\\x=\frac{19}{67} -\frac{9}{67} \\\\\\\boldsymbol{x=\frac{10}{67} }$

3)

10/15+(5/15-х)=14/15

$\displaystyle \frac{10}{15} +\bigg (\frac{5}{15} -x\bigg)=\frac{14}{15} \\\\\\\frac{10}{15} +\frac{5}{15} -x=\frac{14}{15}$

$\displaystyle x=\frac{10}{15} +\frac{5}{15} -\frac{14}{15} \\\\\\x=\frac{10+5-14}{15} \\\\\\\boldsymbol {x= \frac{1}{15} }$