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Targoviste44
a fost răspuns

Rezolvați ecuația :

[tex]\it\Big[\dfrac{6x+5}{8}\Big]=\dfrac{15x-7}{5}[/tex]

Răspuns :

[tex]\dfrac{6x+5}{8}=\dfrac{15x-7}{5}[/tex]

[tex]5 \cdot(6x + 5) = 8 \cdot(15x - 7)[/tex]

[tex]30x + 25 = 120x - 56[/tex]

[tex]30x + 25 + 56 = 120x[/tex]

[tex]30x + 81 = 120x[/tex]

[tex]81 = 120x - 30[/tex]

[tex]90x = 81[/tex]

[tex]x = \dfrac{81}{90} [/tex]

[tex]x = \dfrac{ \not81}{ \not90} [/tex]

[tex] \boxed{x = \dfrac{9}{10} }[/tex]

CosmyCrina

[tex]\frac{6x+5}{8} =\frac{15x-7}{5} \\8*(15x-7)=5*(6x+5)\\120x-56=30x+25\\120x-30x=25+56\\90x=81\\x=\frac{81}{90}\\\\x=\frac{9}{10}[/tex]  

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