5/14z -1/3z +1/7z =1/4 решите уравнение

z(5/14-1/3+1/7) = 1/4 z(15/42-14/42+6/42) = 1/4 7/42z = 1/4 1/6z = 1/4 z = 1/4:1/6 z = 1.5

[latex] \frac{5}{14}\cdot z -\frac{1}{3} \cdot z +\frac{1}{7} \cdot z= \frac{1}{4} \\\\z\cdot ( \frac{5}{14} - \frac{1}{3} +\frac{1}{7} )= \frac{1}{4}\\\\z\cdot \frac{15-14+6}{42} = \frac{1}{4} \\\\z\cdot \frac{7}{42} = \frac{1}{4} \\\\z\cdot \frac{1}{6} = \frac{1}{4} \\\\z=\frac{6}{4}\\\\z=\frac{3}{2}\\\\z=1,5[/latex]