Question

Este urgent dau coroana!!!​

Answer 1

 

$\displaystyle\\\text{Transformam numerele zecimale periodice in fractii.}\\\\1,\!(3)x+2,\!5=0,\!8(3)x+4,\!5\\\\\frac{13-1}{9}x+2,\!5=\frac{83-8}{90}x+4,\!5\\\\\\\frac{12}{9}x+2,\!5=\frac{75}{90}x+4,\!5\\\\\\\frac{4}{3}x+2,\!5=\frac{25}{30}x+4,\!5\\\\\\\frac{4}{3}x-\frac{25}{30}x=4,\!5-2,\!5\\\\\\\frac{40}{30}x-\frac{25}{30}x=2\\\\\\\frac{40-25}{30}x=2\\\\\\\frac{15}{30}x=2\\\\\\\frac{1}{2}x=2\\\\x=2\cdot2\\\\\boxed{x=4}$