№6. Решите уравнение: a)35-x=23-; б)47-x=21:; в) X- + =2.

a) 35 - x = 23

$$\begin{aligned} x &= 35 - 23\frac{23}{27} \\ x &= 34\frac{27}{27} - 23\frac{23}{27} \\ x &= 11\frac{4}{27} \end{aligned}$$

Ответ: $$x = 11\frac{4}{27}$$

б) 47 - x = 21

$$\begin{aligned} x &= 47 - 21\frac{14}{29} \\ x &= 46\frac{29}{29} - 21\frac{14}{29} \\ x &= 25\frac{15}{29} \end{aligned}$$

Ответ: $$x = 25\frac{15}{29}$$

в) x - + = 2

$$\begin{aligned} x - \frac{32}{35} + \frac{17}{35} &= 2\frac{13}{35} \\ x - \frac{15}{35} &= 2\frac{13}{35} \\ x &= 2\frac{13}{35} + \frac{15}{35} \\ x &= 2\frac{28}{35} \\ x &= 2\frac{4}{5} \end{aligned}$$

Ответ: $$x = 2\frac{4}{5}$$