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a fost răspuns

folosind proporții derivate aflați x: a)x+1/x= 7/6
b) x/x+2= 7/9
c) x/8=x+1/9
va rog repede

Răspuns :

Edinakozma5

a)

[tex] \frac{x + 1}{x} = \frac{7}{6} [/tex]

[tex]6(x + 1) = 7x[/tex]

[tex]6 x + 6 = 7x[/tex]

[tex]6x - 7x = - 6[/tex]

[tex] - x = - 6[/tex]

[tex]x = 6[/tex]

b)

[tex] \frac{x}{x + 2} = \frac{7}{9} [/tex]

[tex]9x = 7(x + 2)[/tex]

[tex]9x = 7x + 14[/tex]

[tex]9x - 7x = 14[/tex]

[tex]2x = 14[/tex]

[tex]x = 7[/tex]

c)

[tex] \frac{x}{8} = \frac{x + 1}{9} [/tex]

[tex]9x = 8(x + 1)[/tex]

[tex]9x = 8x + 8[/tex]

[tex]9x - 8x = 8[/tex]

[tex]x = 8[/tex]

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