Question

решите уравнение х = 2/3 х + 1​

Answer 1

Ответ:

$x=\frac{2}{3}x+1\\\\x-\frac{2}{3} x=1\\\\\frac{1}{1}x -\frac{2}{3}x =1 \\\\\frac{3}{3}x-\frac{2}{3}x=1\\\\\frac{1}{3}x =1\\\\x=1:\frac{1}{3}\\\\x = \frac{1}{1}*\frac{3}{1}\\\\x=3$

Проверка:

$x=3\\\\3=\frac{2}{3} *3+1\\\\3=\frac{6}{3}+\frac{1}{1} \\\\3=\frac{6}{3}+\frac{3}{3}\\\\3=\frac{9}{3}\\\\3=3$