x-6/4 - 2x+1/2 - 3=x/3 - 1/2
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Respuestas a la pregunta
Respuesta:
Halla la solución de cada ecuación
a. x-6/4 - 2x+1/2 -3=x/3 -1/2
\begin{gathered}\mathrm{Agrupar\:terminos\:semejantes}\\\\x-2x-3-\frac{6}{4}+\frac{1}{2}=\frac{x}{3}-\frac{1}{2}\\\\\mathrm{Sumar\:elementos\:similares:}\:x-2x=-x\\\\-x-3-\frac{6}{4}+\frac{1}{2}=\frac{x}{3}-\frac{1}{2}\\\\-x-3-\frac{3}{2}+\frac{1}{2}=\frac{x}{3}-\frac{1}{2}\\\\-x-3-1=\frac{x}{3}-\frac{1}{2}\\\\-x-4=\frac{x}{3}-\frac{1}{2}\\\\-x-4+4=\frac{x}{3}-\frac{1}{2}+4\\\\-x=\frac{7}{2}+\frac{x}{3}\\\\-x-\frac{x}{3}=\frac{7}{2}+\frac{x}{3}-\frac{x}{3}\\\\-\frac{4x}{3}=\frac{7}{2}\\\end{gathered}
Agruparterminossemejantesx−2x−3−46+21=3x−21Sumarelementossimilares:
x−2x=−x−x−3−46+21=3x−21−x−3−23+21=3x−21−x−3−1=3x−21−x−4=3x−21−x−4+4=3x−21+4−x=27+3x−x−3x=27+3x−3x−34x=27
\begin{gathered}\mathrm
{Multiplicar\
:ambos\:lados\:por\:}3\\\\3(-\frac{4x}{3})=\frac{7\cdot \:3}{2}\\\\-4x=\frac{21}{2}\\\\\frac{-4x}{-4}=\frac{\frac{21}{2}}{-4}\\\\x=-\frac{21}{8}\end{gathered}Multiplicarambosladospor33(−34x)=27⋅3−4x=221−4−4x=−4221x=−821
b.x-1/6 - 3x+2/3 +1 = ×/12 + 1/6
\begin{gathered}\mathrm{Agrupar\
:terminos\:semejantes}
\\\\-3x+1-\frac{1}{6}+\frac{2}{3}=\frac{x}{12}+\frac{1}{6}\\\\\mathrm{Sumar\:elementos\:similares:}\:x-3x=-2x\\\\-2x+1-\frac{1}{6}+\frac{2}{3}=\frac{x}{12}+\frac{1}{6}\\\\\mathrm{Convertir\:a\:fraccion}:\quad \:1=\frac{1}{1}\\\\\frac{1}{1}-\frac{1}{6}+\frac{2}{3}=\frac{x}{12}+\frac{1}{6}\\\\\mathrm{Reescribir
:las\:fracciones\
:basandose\:en\:el\:minimo\:comun\:denominador}\\\\\frac{6}{6}-\frac{1}{6}+\frac{4}{6}=\frac{x}{12}+\frac{1}{6}\\\end{gathered}Agruparterminossemejantes−3x+1−61+32=12x+61Sumarelementossimilares:x−3x=−2x−2x+1−61+32=12x+61Convertirafraccion:1=1111−61+32=12
Explicación paso a paso:
UwU
Solución
x− 6 /4 −2x+ 1 /2 −3= x /3 − 1 /2
x− 6 /4 −2x+ 1 /2 −3= x /3 − 1 /2
−x−4= 1 /3 x+ −1 /2
−x−4− 1 /3 x= 1 /3 x+ −1 /2 − 1/ 3 x
−4 /3 x−4= −1 /2
−4 /3 x−4+4= −1 /2 +4
−4 /3 x= 7/ 2
( 3 /−4 )*( −4 /3 x)=( 3/ −4 )*( 7 /2 )
x= −21 /8
Respuesta:
x= −21 /8