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Nguyễn Trà My
Phần a)
\(3\times\left(\frac{1}{2}-x\right)+\frac{1}{3}=\frac{7}{6}-x\)
\(32-3x+13=76-x\)
\(116-3x=76-x\)
\(116-76=3x-x\)
\(46=2x\)
\(x=46\div2\)
\(x=13\)
a, - \(\dfrac{1}{10}\) + \(\dfrac{2}{5}\)\(x\) + \(\dfrac{7}{20}\) = \(\dfrac{1}{10}\)
\(\dfrac{2}{5}\)\(x\) = \(\dfrac{1}{10}\) - \(\dfrac{7}{20}\) + \(\dfrac{1}{10}\)
\(\dfrac{2}{5}\) \(x\) = - \(\dfrac{3}{20}\)
\(x\) = - \(\dfrac{3}{20}\): \(\dfrac{2}{5}\)
\(x\) = - \(\dfrac{3}{8}\)
b, \(\dfrac{1}{3}\) + \(\dfrac{1}{2}\): \(x\) = - \(\dfrac{1}{5}\)
\(\dfrac{1}{2}\): \(x\) = - \(\dfrac{1}{5}\) - \(\dfrac{1}{3}\)
\(\dfrac{1}{2}\): \(x\) = - \(\dfrac{8}{15}\)
\(x\) = \(\dfrac{1}{2}\): (- \(\dfrac{8}{15}\))
\(x\) = - \(\dfrac{15}{16}\)
a: \(\Leftrightarrow\dfrac{1}{x+2}-\dfrac{1}{x+5}+\dfrac{1}{x+5}-\dfrac{1}{x+10}+\dfrac{1}{x+10}-\dfrac{1}{x+17}=\dfrac{x}{\left(x+2\right)\left(x+17\right)}\)
=>\(\dfrac{x+17-x-2}{\left(x+2\right)\left(x+17\right)}=\dfrac{x}{\left(x+2\right)\left(x+17\right)}\)
=>x=15
b: \(\Leftrightarrow-\dfrac{1}{x-1}+\dfrac{1}{x-3}-\dfrac{1}{x-3}+\dfrac{1}{x-8}-\dfrac{1}{x-8}+\dfrac{1}{x-20}-\dfrac{1}{x-20}=\dfrac{-3}{4}\)
=>1/x-1=3/4
=>x-1=4/3
=>x=7/3
Lời giải:
a. $x(\frac{4}{5}x-1)(0,1x-10)=0$
$\Rightarrow x=0$ hoặc $\frac{4}{5}x-1=0$ hoặc $0,1x-10=0$
Nếu $\frac{4}{5}x-1=0$
$\Rightarrow x=1: \frac{4}{5}=\frac{5}{4}$
Nếu $0,1x-10=0$
$\Rightarrow x=10:0,1=100$
Vậy $x=0; \frac{5}{4}; 100$
b.
$(\frac{1}{4}x-1)-(\frac{5}{6}x+2)-(1-\frac{5}{8}x)=0$
$(\frac{1}{4}x-\frac{5}{6}x+\frac{5}{8}x)-(1+2+1)=0$
$\frac{1}{24}x-4=0$
$x=4: \frac{1}{24}=96$
2) => \(-\frac{5}{42}-x=-\frac{18}{28}\) => \(-x=\frac{5}{42}-\frac{18}{28}=\frac{10}{84}-\frac{54}{84}=-\frac{44}{84}\)
=> \(x=\frac{44}{84}=\frac{11}{21}\)
3) => \(x=-\left(\frac{1}{6}+\frac{1}{10}-\frac{1}{15}\right)=-\left(\frac{10}{60}+\frac{6}{60}-\frac{4}{60}\right)=-\frac{12}{60}=-\frac{1}{5}\)
4) => \(\frac{x}{5}=\frac{2}{10}-\frac{1}{5}-\frac{7}{50}=\frac{1}{5}-\frac{1}{5}-\frac{7}{50}=-\frac{7}{50}\)
=> \(x=5.\frac{-7}{50}=-\frac{7}{10}\)
a,
(2x-3)-(x-5)=(x+2)-(x-1)
2x-3-x+5=x+2-x+1
x+2=3
x=1
b,
2(x-1)-5(x+2)=-10
2x-2-5x+10=-10
-3x+8=-10
-3x=-18
x=6
a) ( 2x - 3 ) - ( x - 5 ) = ( x + 2 ) - ( x - 1 )
2x - 3 - x + 5 = x + 2 - x + 1
( 2x - x ) + ( 5 - 3 ) = ( x - x ) + ( 2 + 1 )
x + 2 = 3
x = 3 - 2
x = 1
b) 2( x - 1 ) - 5( x + 2 ) = -10
2x - 2.1 - 5x + 5.2 = -10
2x - 2 - 5x + 10 = -10
( 2x - 5x ) + ( 10 - 2 ) = -10
-3x + 8 = -10
-3x = -10 - 8
-3x = -18
x = -18 : -3
x = 6
a) (2x - 3) - (x - 5) = (x + 2) - (x - 1)
2x - 3 - x + 5 = x + 2 - x + 1
2x - x - x + x = 2 + 1 + 3 - 5
0x = 1
=> x thuộc rỗng (vì số nào nhân với 0 cũng bằng 0)
b) 2(x - 1) - 5(x + 2) = -10
2x - 2 - 5x - 10 = - 10
2x - 5x = - 10 + 2 + 10
- 3x = 2
x = \(\frac{-2}{3}\)
|5x + 1| - 10x = 1/2
=> |5x + 1| = 1/2 + 10x (Đk: 1/2 + 10x \(\ge\)0 <=> 10x \(\ge\)-1/2 <=> x \(\ge\)-1/20)
=> \(\orbr{\begin{cases}5x+1=\frac{1}{2}+10x\\5x+1=-\frac{1}{2}-10x\end{cases}}\)
=> \(\orbr{\begin{cases}-5x=-\frac{1}{2}\\15x=-\frac{3}{2}\end{cases}}\)
=> \(\orbr{\begin{cases}x=\frac{1}{10}\left(tm\right)\\x=-\frac{1}{10}\left(ktm\right)\end{cases}}\)