Question

Решите уравнение: 1)x/4=x-1/6 2)x+6/2=4+x/3 3)3+x/8=x/5 4)x+2/6=1+x/8 5)2x-3/5=x-2/3 89

Answer 1

1)$\frac{x}{4}=x- \frac{1}{6};$
$x= \frac{x}{4}+ \frac{1}{6};$
$x= \frac{6x+4}{24};$
$24x=6x+4;$
$24x-6x=4$
$18x=4;$
$x= \frac{4}{18};$
$x= \frac{4}{18}; x= \frac{2}{9}$
2)$x+ \frac{6}{2}=4+ \frac{x}{3};$
$x-\frac{x}{3}=4-\frac{6}{2};$
$\frac{3x-x}{3}= \frac{8-6}{2};$
$\frac{2x}{3}= \frac{2}{2};$
$\frac{2x}{3}=1;$
$2x=3;$
$x= \frac{3}{2}=1 \frac{1}{2};$
3)$3+ \frac{x}{8} = \frac{x}{5};$
$3=\frac{x}{5}- \frac{x}{8};$
$3= \frac{8x-5x}{40};$
$3*40=3x;$
$120=3x;$
$x= \frac{120}{3}=40$
4)$x+\frac{2}{6} =1+\frac{x}{8};$
$x-\frac{x}{8}=1-\frac{2}{6};$
$\frac{8x-x}{8}= \frac{6-2}{6};$
$\frac{7x}{8} = \frac{4}{6};$
$42x=32;$
$x= \frac{32}{42}= \frac{16}{21};$
5)$2x-\frac{3}{5} =x-\frac{2}{3};$
$2x-x=\frac{3}{5}-\frac{2}{3};$
$x= \frac{9-10}{15}= \frac{-1}{15}=- \frac{1}{15}$
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