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<em>(x+4)/6=(x-2)/2 + (2x-5)/3</em>
<em>(x+4)=3*(x-2) + 2*(2x-5)</em>
<em>x+4=3x-6+4x-10</em>
<em>x-3x-4x=-10-4-6</em>
<em>-6x=-20</em>
<em>x=20/6</em>
<em>х=10/3</em>
<em>х=3 целых 1/3</em>
<em />
Большие промежутки всегда разбивай на несколько кругов,чтобы не запутаться.
Формулы деления отрезка в отношении
![\lambda:](https://tex.z-dn.net/?f=%5Clambda%3A)
![x=\frac{x_1+\lambda x_2}{1+\lambda } ,y=\frac{y_1+\lambda y_2}{1+\lambda }, z=\frac{z_1+\lambda z_2}{1+\lambda }\\\lambda =\frac{3}{5}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7Bx_1%2B%5Clambda+x_2%7D%7B1%2B%5Clambda+%7D+%2Cy%3D%5Cfrac%7By_1%2B%5Clambda+y_2%7D%7B1%2B%5Clambda+%7D%2C+z%3D%5Cfrac%7Bz_1%2B%5Clambda+z_2%7D%7B1%2B%5Clambda+%7D%5C%5C%5Clambda+%3D%5Cfrac%7B3%7D%7B5%7D)
Сначала делим в отношении 3/5 от точки А.
![y=\frac{5-\frac{3}{5}}{1+\frac{3}{5}}=5, z=\frac{5+\frac{3}{5}3}{1+{\frac{3}{5}}}=\frac{34}{8}=\frac{17}{4}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B5-%5Cfrac%7B3%7D%7B5%7D%7D%7B1%2B%5Cfrac%7B3%7D%7B5%7D%7D%3D5%2C+z%3D%5Cfrac%7B5%2B%5Cfrac%7B3%7D%7B5%7D3%7D%7B1%2B%7B%5Cfrac%7B3%7D%7B5%7D%7D%7D%3D%5Cfrac%7B34%7D%7B8%7D%3D%5Cfrac%7B17%7D%7B4%7D)
Точка В(-1,5,17/4)
Теперь делим ,начиная от точки Р.
![x=\frac{-1-\frac{3}{5}}{1+\frac{3}{5}}=-1, y=\frac{-1+3}{1+\frac{3}{5}}=\frac{5}{4}, z=\frac{3+3}{1+\frac{3}{5}}=\frac{15}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-1-%5Cfrac%7B3%7D%7B5%7D%7D%7B1%2B%5Cfrac%7B3%7D%7B5%7D%7D%3D-1%2C+y%3D%5Cfrac%7B-1%2B3%7D%7B1%2B%5Cfrac%7B3%7D%7B5%7D%7D%3D%5Cfrac%7B5%7D%7B4%7D%2C+z%3D%5Cfrac%7B3%2B3%7D%7B1%2B%5Cfrac%7B3%7D%7B5%7D%7D%3D%5Cfrac%7B15%7D%7B4%7D)
Точка С(-1,5/4,15/4)