Question

Если (х-у)/х=2/5 и (z+x)/32=3/2,. то найдите у/z

Answer 1

$\boxed {\dfrac{y}{z} = \dfrac{0,6x}{48 - x} }$

Пошаговое объяснение:

$\displaystyle \left \{ {{\dfrac{x - y}{x} = \dfrac{2}{5} } \atop {\dfrac{z + x}{32} = \dfrac{3}{2} }} \right$   $\displaystyle \left \{ {{ 1 - \dfrac{y}{x} = \dfrac{2}{5} } \atop {\dfrac{z + x}{32} = \dfrac{3}{2}| \cdot 32 }} \right$$\displaystyle \left \{ {{ \dfrac{y}{x} = 1 - \dfrac{2}{5} } \atop {z + x = 48 }} \right$$\displaystyle \left \{ {{ y = 0,6x } \atop {z = 48 - x }} \right$

$\dfrac{y}{z} = \dfrac{0,6x}{48 - x}$