Question

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Answer 1

Verified answer

Explicación paso a paso:

Hola , bueno te explicaré:

[tex] \frac{6}{9x + 1} = \frac{9}{5x - 2} [/tex]

Los denominadores pasan a multiplicar al numenador opuesto.

(5x-2)6=9(9x+1)

30x-12=81x+9

-51x=21

[tex]x = - \frac{21}{51} [/tex]

Sacamos 7ma

[tex]x = - \frac{7}{17} [/tex]

Answer 2

Despeja para x

[tex] \frac{6}{9x + 1} = \frac{9}{5x - 2} [/tex]

Multiplicas en cruz

[tex]6(5x - 2) = 9(9x + 1)[/tex]

[tex]30x - 12 = 81x + 9[/tex]

[tex] - 12 = 81x + 9 - 30x[/tex]

[tex] - 12 = 51x + 9[/tex]

[tex] - 12 - 9 = 51x[/tex]

[tex] - 21 = 51x[/tex]

[tex] - \frac{21}{51} = x[/tex]

[tex] - \frac{7}{17} = x[/tex]

[tex] \red{x = }- \frac{7}{17} [/tex] ← Respuesta