Explicación paso a paso:
[tex] \frac{2x}{3} \times \frac{4}{4} = \frac{8x}{12 } \\ \frac{x}{2} \times \frac{6}{6} = \frac{6x}{12} \\ \frac{3x}{4} \times \frac{3}{3} = \frac{9x}{12} [/tex]
[tex] \frac{2}{3} x + \frac{1}{2} x + \frac{3}{4} x = 10 \\ \frac{2x}{3} + \frac{x}{2} + \frac{3x}{4} = 10 \\ \frac{8x}{12} + \frac{6x}{12} + \frac{9x}{12} = 10 \\ \frac{23x}{12} = 10 \\ 23x = 10 \times 12 \\ 23x = 120 \\ x = \frac{120}{23} [/tex]
espero que te sirva
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Verified answer
Explicación paso a paso:
[tex] \frac{2x}{3} \times \frac{4}{4} = \frac{8x}{12 } \\ \frac{x}{2} \times \frac{6}{6} = \frac{6x}{12} \\ \frac{3x}{4} \times \frac{3}{3} = \frac{9x}{12} [/tex]
[tex] \frac{2}{3} x + \frac{1}{2} x + \frac{3}{4} x = 10 \\ \frac{2x}{3} + \frac{x}{2} + \frac{3x}{4} = 10 \\ \frac{8x}{12} + \frac{6x}{12} + \frac{9x}{12} = 10 \\ \frac{23x}{12} = 10 \\ 23x = 10 \times 12 \\ 23x = 120 \\ x = \frac{120}{23} [/tex]
espero que te sirva