Materia:
MatemáticasAutor/a:
curryCreada:
hace 1 añoRespuesta:
1. x = 0.5833333....
2. x = -\frac{1}{3}
3. x = -\frac{1}{2}
a. x = 3.06060.....
b. x = 1
c. x = \frac{19}{4}
Explicación paso a paso:
1 \frac{3x-2x}{6} =\frac{x-1.5}{6} +x-\frac{1}{3}
\frac{x}{6} =\frac{x-1.5+6x}{6}-\frac{1}{3}
x=\frac{21x-10.5}{3}
x=\frac{10.5}{18}
x=0.5833333....
2
11x-5\left(\frac{4x+1}{2}\right)=\frac{3}{5}\left(x-\frac{1}{2}\right)-\frac{7}{3}
\frac{22x-20x-5}{2}=\frac{6x-3}{10}-\frac{7}{3}
2x-5=\frac{18x-79}{15}
12x=-4\\x=-\frac{1}{3}
3
\frac{1}{4}-2\left(\frac{2x-5}{10}\right)=x+3\left(\frac{4-5x}{10}\right)
-2\cdot \frac{2x-5}{10}=-\frac{1}{4}+\frac{12-5x}{10}
-2\cdot \frac{2x-5}{10}\cdot \:10=-\frac{1}{4}\cdot \:10+\frac{12-5x}{10}\cdot \:10
-2\left(2x-5\right)=-\frac{5}{2}+12-5x\\\\
-4x=-5x-\frac{1}{2}
x=-\frac{1}{2}\\
a)
2-\frac{1}{5}\left(2x-1\right)+\frac{2}{3}=\frac{7x}{10}-\frac{1}{2}
\frac{10-2x+1}{5}+\frac{2}{3}=\frac{14x-10}{20}
\frac{-6x+43}{15}=\frac{14x-10}{20}
-24x+172=42x-30\\202=66x\\x=3.06060.......
b)
\frac{1}{\:2}\left(\frac{x+2}{2}\right)-\frac{2x}{3}=\frac{1}{6}\left(\frac{2x-1}{2}\right)
\frac{1}{2}\cdot \frac{x+2}{2}-\frac{2x}{3}=\frac{1}{6}\left(\frac{2x-1}{2}\right)
\frac{x+2}{4}-\frac{2x}{3}=\frac{1}{6}\left(\frac{2x-1}{2}\right)
3\left(x+2\right)-8x=2x-1
-5x+6=2x-1
-7x=-7\\x=1
c)
\frac{4}{5}+\frac{6x}{5}-\frac{2}{3}\left(x+\frac{1}{4}\right)=\frac{2x}{3}
12+18x-10\left(x+\frac{1}{4}\right)=10x
8x+\frac{19}{2}=10x
-2x=-\frac{19}{2} \\x=\frac{19}{4}
Autor/a:
piggyyjp4
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