a) x + 1/2 = 3/4
b) 4/5 . x = 4/7
c) 8x= 7,8x + 25
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1. \(\frac{4}{5}\cdot x=\frac{4}{7}\Rightarrow x=\frac{4}{7}:\frac{4}{5}=\frac{20}{28}=\frac{5}{7}\)
Vậy \(x=\frac{5}{7}\)
2.\(8x=7,8x+25\Rightarrow8x=\frac{39}{5}x+25=1000\)
\(1000:8=125\)và \(\left(1000-25\right):\frac{39}{5}=125\)
\(\Rightarrow x=125\)
Bài làm :
\(1\text{)}8x=7,8x+25\Leftrightarrow8x-7,8x=25\Leftrightarrow0,2x=25\Leftrightarrow x=25\div0,2=125\)
\(2\text{)}\left|x+7\right|-3=2\Leftrightarrow\left|x+7\right|=5\Leftrightarrow\orbr{\begin{cases}x+7=5\\x+7=-5\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=-2\\x=-12\end{cases}}\)
\(3\text{)}\left(2x-5\right)\div3=7\Leftrightarrow2x-5=21\Leftrightarrow2x=26\Leftrightarrow x=13\)
a: \(=\dfrac{x^2+3x+2-x^2+2x+8}{\left(x-2\right)\left(x+2\right)}=\dfrac{5x+10}{\left(x-2\right)\left(x+2\right)}=\dfrac{5}{x-2}\)
b: \(=\dfrac{x^2-4x+3-x^2-3x-2+8x}{\left(x-1\right)\left(x+1\right)}=\dfrac{x+1}{\left(x-1\right)\left(x+1\right)}=\dfrac{1}{x-1}\)
c: \(=\dfrac{x+2}{x\left(x-2\right)}+\dfrac{2}{x\left(x+2\right)}+\dfrac{3x+2}{\left(x+2\right)\left(x-2\right)}\)
\(=\dfrac{x^2+2x+2x-4+3x+2}{x\left(x-2\right)\left(x+2\right)}=\dfrac{x^2+7x-2}{x\left(x-2\right)\left(x+2\right)}\)
a,
\(\dfrac{x+1}{x-2}-\dfrac{x}{x+2}+\dfrac{8}{x^2-4}\\ =\dfrac{x^2+3x+2-x^2+2x+8}{\left(x-2\right)\left(x+2\right)}=\dfrac{5x+10}{\left(x-2\right)\left(x+2\right)}=\dfrac{5\left(x+2\right)}{\left(x-2\right)\left(x+2\right)}=\dfrac{5}{x-2}\)
b,
\(\dfrac{x-3}{x+1}-\dfrac{x+2}{x-1}+\dfrac{8x}{x^2-1}\\ =\dfrac{x^2-4x+3-x^2-3x-2+8x}{\left(x-1\right)\left(x+1\right)}=\dfrac{x+1}{\left(x-1\right)\left(x+1\right)}\\ =\dfrac{1}{x-1}\)
a) \(x+\frac{1}{2}=\frac{3}{4}\Rightarrow x=\frac{3}{4}-\frac{1}{2}\)\(\Rightarrow x=\frac{1}{4}\)
b)\(\frac{4}{5}\cdot x=\frac{4}{7}\Rightarrow x=\frac{4}{7}:\frac{4}{5}\)\(\Rightarrow x=\frac{5}{7}\)
c) \(8x=7,8x+25\Rightarrow8x-7,8x=25\)\(\Rightarrow0,2x=25\Rightarrow x=\frac{25}{0,2}\Rightarrow x=125\)
`a)5/8x+2/5=1/5`
`=>5/8x=1/5-2/5`
`=>5/8x=-1/5`
`=>x=-1/5:5/8=-8/25`
`b)5/7:x+11/7=18/7`
`=>5/7:x=18/7-11/7`
`=>5/7:x=1`
`=>x=5/7`
`c)(-1,2).(-3/24)+(0,4-1 4/15):1 2/3`
`=(-6/5).(-1/8)+(2/5-19/15):5/3`
`=3/20+(-13/15)*3/5`
`=3/20-13/25=-37/100`
a)5/8.x+2/5=1/5
5/8.x=1/5 - 2/5
5/8.x=-1/5
x=(-1/5):5/8
x=(-1/5).8/5
x=-8/25. Vậy x=-8/25
b)5/7:x +11/7=18/7
5/7:x=1
x=5/7:1
x=5/7. Vậy x=5/7
\(a.x=\frac{3}{4}-\frac{1}{2}=\frac{1}{4}\)
\(b.x=\frac{4}{7}:\frac{4}{5}=\frac{5}{7}\)
\(c.8x-7,8x=25\)
\(0,2x=25\Rightarrow x=125\)