Question

Определить x из соотношения 5/((1/3)*х+8)/х)+9)=75/152

Answer 1

$\frac{5}{\frac{ \frac{1}{3}x+8}{x} +9} =\frac{75}{152}\\\\5\cdot 152=75\cdot (\frac{\frac{1}{3}x+8}{x}+9)\\\\760=75\cdot \frac{\frac{1}{3}x+8+9x}{x}\\\\760x=75\cdot (8+9\frac{1}{3}x)\\\\760x=600+75\cdot \frac{28}{3}x\\\\760x=600+700x\\\\760x-700x=600\\\\60x=600\\\\x=10$