Question

0.(3)x-1.(2)x+0.25=2.5, x=? rezolvare completa repedeeee

Answer 1

0,(3)=$\frac{3}{9}[tex] = [tex] \frac{1}{3}$
1,(2)=$1 \frac{2}{9} = \frac{11}{9}$
$\frac{1}{3} - \frac{11}{9}x + 0,25 = 2,5$ /-0,25
$\frac{1}{3} - \frac{11}{9}x = 2,25$
$\frac{11}{9}x = \frac{1}{3}$ - 2,25
$\frac{11}{9}x = \frac{1}{3} - \frac{225}{100}$
$\frac{11}{9}x = \frac{1}{3} - \frac{3}{4}$
$\frac{11}{9}x = \frac{4}{12} - \frac{27}{12}$
$\frac{11}{9}x = - \frac{23}{12}$
x = -$\frac{23}{12} : \frac{9}{4}$ = -$\frac{23}{12}$·$\frac{4}{9} =- \frac{23}{27}$