Question

полное решение пожалуйста​

Answer 1

Ответ:

$x=1\frac{3}{8}$

$x=2\frac{1}{3}$

$x=3\frac{7}{20}$

$y=4,6$

$z=1\frac{4}{11}$

Объяснение:

$\frac{1}{3}x+\frac{1}{4}x+\frac{1}{5}x=1\frac{19}{75}\\\\\frac{1}{3}x+\frac{1}{4}x+\frac{1}{5}x=\frac{94}{75}\ \ \ |\cdot300\\\\100x+75x+60x=376\\\\235x=376\ \ \ |:235\\\\x=1\frac{141}{235}\\\\x=1\frac{3}{8}$  

$4\frac{1}{2}:x+1\frac{3}{4}=3\frac{19}{28}\\\\4\frac{1}{2}:x=3\frac{19}{28}-1\frac{3}{4}\\\\4\frac{1}{2}:x=3\frac{19}{28}-1\frac{21}{28}\\\\4\frac{1}{2}:x=2\frac{47}{28}-1\frac{21}{28}\\\\4\frac{1}{2}:x=1\frac{26}{28}\\\\\frac{9}{2}:x=1\frac{13}{14}\\\\x=\frac{9}{2}:\frac{27}{14}\\\\x=\frac{9}{2}\cdot\frac{14}{27}\\\\x=\frac{7}{3}\\\\x=2\frac{1}{3}$

$3\frac{2}{3}:(x-2\frac{4}{15})=3\frac{5}{13}\\\\x-2\frac{4}{15}=3\frac{2}{3}:3\frac{5}{13}\\\\x-2\frac{4}{15}=\frac{11}{3}:\frac{44}{13}\\\\x-2\frac{4}{15}=\frac{11}{3}\cdot\frac{13}{44}\\\\x-2\frac{4}{15}=\frac{13}{12}\\\\x=1\frac{1}{12}+2\frac{4}{15}\\\\x=1\frac{5}{60}+2\frac{16}{60}\\\\x=3\frac{21}{60}\\\\x=3\frac{7}{20}$

$\frac{y}{0,8}=\frac{23}{4}\\\\4y=0,8\cdot23\\\\4y=18,4\ \ \ |:4\\\\y=4,6$

$\frac{3+z}{8}=\frac{6}{11}\\\\11(3+z)=8\cdot6\\\\33+11z=48\\\\11z=48-33\\\\11z=15\ \ \ |:11\\\\z=1\frac{4}{11}$