Question

Решите уравнение (х- 9 3/7)+ 5 8/21=6 5/14

Answer 1

$(x-9 \frac{3}{7} )+5 \frac{8}{21} =6 \frac{5}{14} ; \\ x-9 \frac{3}{7}=6 \frac{5}{14}-5 \frac{8}{21}; \\ x-9 \frac{3}{7}=6 \frac{5*3}{14*3}-5 \frac{8*2}{21*2}; \\ x-9 \frac{3}{7}=6 \frac{15}{42}-5 \frac{16}{42}; \\ x-9 \frac{3}{7}=5 \frac{57}{42}-5 \frac{16}{42}; \\ x-9 \frac{3}{7}= \frac{41}{42}; \\ x=\frac{41}{42}+9 \frac{3}{7}; \\ x=\frac{41}{42}+9 \frac{3*6}{7*6}; \\ x=\frac{41}{42}+9 \frac{3}{7}; \\ x=\frac{41}{42}+9 \frac{18}{42}; \\ x=9 \frac{59}{42}; \\ x=10 \frac{17}{42}$