Question

ECUACIÓN 2/3 * (X-2) ≈ 1/4 * (X-5) ayudenme resolviendo xfa

Answer 1

Respuesta:

$\frac{2}{3} (x-2)=\frac{1}{4}(x-5) \\\\\frac{2x-4}{3} =\frac{x-5}{4} \\\\4(2x-4)=3(x-5)\\\\8x-16=3x-15\\\\8x-3x=-15+16\\\\5x=1\\\\x=\frac{1}{5}$

Comprobar:

$\frac{2}{3} (\frac{1}{5} -2)=\frac{1}{4}(\frac{1}{5} -5) \\\\\frac{2}{3} (\frac{-9}{5})=\frac{1}{4}(\frac{-24}{5}) \\\\\frac{-18}{15} =\frac{-24}{20}\\\\\frac{-6}{5} =\frac{-6}{5}$