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x+1 supra 5x+1=0,(27). x=?​

Răspuns :

[tex] \frac{x + 1}{5x + 1} = 0.(27)[/tex]

[tex]\frac{x + 1}{5x + 1} = \frac{27}{99} [/tex]

[tex]\frac{x + 1}{5x + 1} = \frac{3}{11} [/tex]

[tex]11 \times (x + 1) = 3 \times (5x + 1)[/tex]

[tex]11x + 11 = 15x + 3[/tex]

[tex]11x - 15x = 3 - 11[/tex]

[tex] - 4x = - 8[/tex]

[tex]x = 2[/tex]

(x+1)/(5x+1)=27/99

(x+1)*99=(5x+1)*27

99x+99=135x+27

72=x*36

x=2