Решить уравнение, с помощью основного свойства пропорции.

(5х-1)3,2=(1,8-4,7)2 16х-3,2= 3,6х-9,4 16х-3,6х=-9,4+3,2 12,4х=-6,2 х= -0,5

[latex] \frac{5x-1}{2}=\frac{1.8x-4.7}{3.2}[/latex] [latex] \frac{5x-1}{2}= \frac{\frac{18}{10}x-\frac{47}{10}}{\frac{32}{10}} [/latex] [latex]\frac{5x-1}{2}= \frac{\frac{9}{5}x-\frac{47}{10}}{\frac{16}{5}} [/latex] [latex]\frac{5x-1}{2}= \frac{\frac{18x-47}{10}}{\frac{16}{5}} [/latex] [latex]\frac{5x-1}{2}= \frac{(18x-47)5}{10*16} [/latex] [latex]\frac{5x-1}{2}= \frac{18x-47}{2*16} [/latex] [latex]\frac{5x-1}{2}= \frac{18x-47}{32} [/latex] [latex]32(5x-1)=2(18x-47)[/latex] [latex]160x-32=36x-94[/latex] [latex]160x-36x=-94+32[/latex] [latex]124x=-62[/latex] [latex]x=-\frac{62}{124} [/latex] [latex]x=-\frac{1}{2} [/latex] [latex]x=-0.5[/latex]