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X+4 supra 6 +2x-7 supra 3 =1+ 4-3x supra 2

Atunci X?


Răspuns :

(x+4)/6  +(2x-7)/3= 1 + (4-3x)/2  aducem la acelasi numitor

x+4+4x-14=6 + 12-9x

5x-10= -9x +18

5x+9x=18-10

14x=8

x= 8/14=  2/7
[tex] \frac{x + 4}{6} + \frac{2x - 7}{3} = 1 + \frac{4 - 3x}{2} [/tex]

Aducem la acelasi numitor.

[tex] \frac{x + 4}{6} + \frac{2(2x-7)}{6} = \frac{6}{6} + \frac{3(4-3x)}{6} [/tex]

[tex]x + 4 + 4x - 14 = 6 + 12 - 9x[/tex]

[tex]x + 4x + 9x = 6 + 12 + 14 - 4[/tex]

[tex]14x = 28[/tex]

[tex]x = \frac{28}{14} = 2[/tex]