Explicación paso a paso:
a)
[tex] \frac{1}{2} x - 3 = \frac{1}{4} x \\ \frac{1}{2} x - \frac{1}{4} x = 3 \\ (\frac{1 \times 4}{2 \times 4} - \frac{1 \times 2}{4 \times 2} )x = 3 \\ ( \frac{4}{8} - \frac{2}{8} )x = 3 \\ \frac{2}{8} x = 3 \\ 2x = 3 \times 8 \\ x = \frac{3 \times 8}{2} = \frac{24}{2} = 12[/tex]
d)
[tex] \frac{4 - x}{3} = \frac{x}{9} \\ 4 - x = x \frac{3}{9} \\ 4 = \frac{3}{9} x + x = \frac{3}{9} x + \frac{9}{9} x \\ 4 = \frac{12}{9} x \\ x = \frac{4 \times 9}{12} = \frac{36}{12} = 3[/tex]
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Verified answer
Explicación paso a paso:
a)
[tex] \frac{1}{2} x - 3 = \frac{1}{4} x \\ \frac{1}{2} x - \frac{1}{4} x = 3 \\ (\frac{1 \times 4}{2 \times 4} - \frac{1 \times 2}{4 \times 2} )x = 3 \\ ( \frac{4}{8} - \frac{2}{8} )x = 3 \\ \frac{2}{8} x = 3 \\ 2x = 3 \times 8 \\ x = \frac{3 \times 8}{2} = \frac{24}{2} = 12[/tex]
d)
[tex] \frac{4 - x}{3} = \frac{x}{9} \\ 4 - x = x \frac{3}{9} \\ 4 = \frac{3}{9} x + x = \frac{3}{9} x + \frac{9}{9} x \\ 4 = \frac{12}{9} x \\ x = \frac{4 \times 9}{12} = \frac{36}{12} = 3[/tex]