Question

resolución 1/3x-x = 1/4x+1​

Answer 1

Respuesta:

x= -1/2

Explicación paso a paso:

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

Comprobación:

$\frac{1}{3x-x}=\frac{1}{4x+1}\\\\\frac{1}{3(-\frac{1}{2} )-(-\frac{1}{2} )}=\frac{1}{4(-\frac{1}{2} )+1}\\\\\frac{1}{-\frac{3}{2}+\frac{1}{2} }=\frac{1}{-2+1} \\\\\frac{1}{\frac{-3+1}{2} }=\frac{1}{-1} \\\\\frac{1}{\frac{-2}{2} }=-1\\\\\frac{1}{-1} =-1\\\\-1=-1$

Espero sea de ayuda! Saludos!