Question

509. Решите уравнение​

Answer 1

Пошаговое объяснение:

$1)\frac{x-\frac{3}{4} }{\frac{3}{8}-\frac{1}{6} }=6\\ \\ \frac{3}{8}-\frac{1}{6}=\frac{3*3-1*4}{24}=\frac{5}{24} \\ \\ x-\frac{3}{4}=6*\frac{5}{24}\\ \\ x=\frac{3}{4}+\frac{5}{4} \\ \\ x=2$

$2)\frac{x-\frac{7}{15} }{\frac{3}{4} -\frac{1}{2} }=-4\\ \\ x-\frac{7}{15} =-4(\frac{3}{4}-\frac{2}{4})\\ \\ x-\frac{7}{15}=-1\\ \\ x=-1+\frac{7}{15} \\ \\ x=-\frac{8}{15}$

$3) \frac{\frac{2}{5}+ x}{\frac{2}{3}-\frac{1}{6} } =-2\\ \\ \frac{2}{5}+ x=-2(\frac{4}{6}-\frac{1}{6}) \\ \\ x+\frac{2}{5}=-2*\frac{2}{2}\\ \\ x=-1-\frac{2}{5} \\ \\ x=-1\frac{2}{5}=-1,4$