Răspuns:
[tex]1.3 \times x + 2.73 = 2 \times (1.2 \times x - 1) \\ 1.3x + 2.73 = 2.4x - 2 \\ 1.3x - 2.4x = - 2 - 2.73 \\ - 1.1x = - 0.73 \\ x = \frac{0.73}{1.1} \\ x = 0.66[/tex]
[tex] \frac{x}{2} + \frac{4}{9} = \frac{x + 7}{6} \\ \: aducem \: toate \: fractiile \\ \: la \: acelasi \: numitor \: \\ comun \: care \: este \: 18 \\ 9 \times \frac{x}{2} - 3 \times \frac{x + 7}{6} = 2 \times \frac{ - 4}{9} \\ \frac{9x}{18} - \frac{3x + 21}{18} = \frac{ - 8}{18} \\ avand \: acelasi \: numitor \: il \: \\ putem \: reduc \\ 9x - 3x - 21 = - 8 \\ 6x = - 8 + 21 \\ 6x = 13 \\ x = \frac{13}{6} \\ x = 2.16[/tex]
[tex] \frac{6x - 1}{10} = \frac{2x - 3}{6} + \frac{1}{3} \\ aducem \: la \: numitorul \\ \: comun \: 30 \\ 3 \times \frac{6x - 1}{10} = 5 \times \frac{2x - 3}{6} + 10 \times \frac{1}{3} \\ \frac{18x - 3}{30} = \frac{10x - 15}{30} + \frac{10}{30} \\ reducem \: numitori \\ 18x - 3 = 10x - 15 + 10 \\ 18x - 10x = - 15 + 10 + 3 \\ 8x = - 2 \div x = - \frac{2}{8} \\ x = - \frac{1}{4} \\ x = 0.25[/tex]
