Tìm x biết
a ) x − 1 2 = 7 13 . 13 28 b ) x 15 = − 3 11 . 77 36 ; c ) x + 7 7 = 9 18 . 9 27 d ) x : 15 11 = − 3 12 .8
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a) Ta có : ( x + 1 ).( 3 - x ) > 0
Th1 : \(\hept{\begin{cases}x+1>0\\3-x>0\end{cases}\Rightarrow\hept{\begin{cases}x>-1\\x>3\end{cases}\Rightarrow}x>3}\)
Th2 : \(\hept{\begin{cases}x+1< 0\\3-x< 0\end{cases}\Rightarrow\hept{\begin{cases}x< -1\\x< 3\end{cases}\Rightarrow}x< -1}\)
a) \(\dfrac{6}{13}:\left(\dfrac{1}{2}-x\right)=\dfrac{15}{39}\)
\(\dfrac{1}{2}-x=\dfrac{6}{13}:\dfrac{15}{39}\)
\(\dfrac{1}{2}-x=\dfrac{6}{5}\)
\(x=\dfrac{1}{2}-\dfrac{6}{5}\)
\(x=-\dfrac{7}{10}\)
b) \(3\times\left(\dfrac{x}{4}+\dfrac{x}{28}+\dfrac{x}{70}+\dfrac{x}{130}\right)=\dfrac{60}{13}\)
\(3\times x\times\left(\dfrac{1}{4}+\dfrac{1}{28}+\dfrac{1}{70}+\dfrac{1}{130}\right)=\dfrac{60}{13}\)
\(x\times\left(\dfrac{3}{1\times4}+\dfrac{3}{4\times7}+\dfrac{3}{7\times10}+\dfrac{3}{7\times13}\right)=\dfrac{60}{13}\)
\(x\times\left(1-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{10}+\dfrac{1}{10}-\dfrac{1}{13}\right)=\dfrac{60}{13}\)
\(x\times\left(1-\dfrac{1}{13}\right)=\dfrac{60}{13}\)
\(x\times\dfrac{12}{13}=\dfrac{60}{13}\)
\(x=\dfrac{60}{13}:\dfrac{12}{13}\)
\(x=5\)
a, 11/13 - ( 5/42 - x ) = - (5/28 - 11/13)
11/13 - (5/42 - x) = - 5/28 + 11/13
- (5/42 - x) + 5/28 = -11/13 + 11/13
- 5/42 + x + 5/28 = 0
- 5/42 + x = 0 - 5/28
- 5/42 + x = - 5/28
x = -5/28 +5/42
x = - 5/84
b, / x + 4/15 \ - / - 3,75 \ = - / - 2,15 \
./ x + 4/15 \ - 3,75 = - 2,15
/ x + 4/15 \ = -2,15 + 3,75
/ x + 4/15 \ = 1,6
x + 4 / 15 = 1,6 hoặc x+ 4/15 = - 1,6
x = 1,6 - 4/15 x = - 1,6 -4/15
x = 4/3 x = -28/15
Vậy x = 4/3 hoặc x = - 28/15
c, ( 0,25 - 30% x ) . 1/3 = 1/4 - 31/6
( 1/4 - 3/10 x ) . 1/3 = - 59/12
( 1/4 - 3/10 x ) = - 59/12 : 1/3
1/4 - 3/10 x = - 59/4
3/10 x = 1/4 + 59/4
3/10 x = 15
x = 15 : 3/10
x = 50
d, ( x - 1/2 ) : 1/3 + 5/7 = 68/7
( x - 1/2 ) : 1/3 = 68/7 - 5/7
( x - 1/2 ) : 1/3 = 63/7
( x - 1/2 ) = 63/7 . 1/3
x -1/2 = 3
x = 3 + 1/2
x = 7/2
a.-1,75-(-\(\dfrac{1}{9}\)-2\(\dfrac{1}{8}\))
-1,75-\(\dfrac{1}{9}+\dfrac{17}{8}\)
\(-\dfrac{7}{4}-\dfrac{1}{9}+\dfrac{17}{8}\)
\(\dfrac{-126}{72}-\dfrac{8}{72}+\dfrac{153}{72}\)
=\(\dfrac{19}{72}\)
b.\(\dfrac{-1}{12}-\left(2\dfrac{5}{8}-\dfrac{1}{3}\right)\)
\(\dfrac{-1}{12}-\left(\dfrac{21}{8}-\dfrac{1}{3}\right)\)
\(\dfrac{-1}{12}-\dfrac{21}{8}+\dfrac{1}{3}\)
\(\dfrac{-2}{24}-\dfrac{63}{24}+\dfrac{64}{24}\)
=\(\dfrac{-1}{24}\)
11/13-(5/42-x)=(15/28-11/13)
11/13-(5/42-x)=-37/182
(5/42-x)=11/13+37/182
(5/42-x)=191/182
x=5/42-191/182
x=-254/273
vậy x=-254/273
a, \(0,5x-\frac{2}{3}x=\frac{7}{12}\)
=> \(x\left(0,5-\frac{2}{3}\right)=\frac{7}{12}\)
=>\(\frac{-1}{6}x=\frac{7}{12}\)=> \(x=\frac{7}{12}:\frac{-1}{6}=\frac{-7}{2}\)
b, \(x:\frac{13}{3}=-2,5\)
=>\(x=\left(-2,5\right):\frac{13}{3}=\frac{-7,5}{13}\)
c, \(5,5x=\frac{13}{15}\)
=>\(x=\frac{13}{15}:5,5=\frac{13}{82,5}\)
d, \(\left(\frac{3x}{7}+1\right):\left(-4\right)=\frac{-1}{28}\)
=>\(\left(\frac{3x}{7}+1\right)=\frac{-1}{28}:\left(-4\right)=\frac{1}{7}\)
=>\(\frac{3x}{7}=\frac{1}{7}-1=\frac{-6}{7}\)
=>\(3x=-6\)
=> \(x=\left(-6\right):3=-3\)
a)7-3x=28
3x =7-28
3x =-21
x =-21:3
x =-7
b)12-x=13-(-4)
12-x=13+4
12-x=17
x=12-17
x=-5
c)15-2(x-1)=-3
2(x-1) =15+3
2(x-1) =18
x-1 =18:2
x =9+1
x =10
d)2x-(3+x)=5-7
2x-(3+x)=-2
3+x =2x+2
3+x-2 =2x
x+1 =2x
x+1 =x+x
=>x=1
#Chúc bạn học tốt#
k cho mk nha ,please!!!
a) 7 - 3x = 28
3x = 7 - 28
3x = -21
x = -21 : 3
x = -7
vậy x = -7
b) 12 - x = 13 -(-4)
12 - x = 17
x = 12 - 17
x = -5
vậy x = -5
c) 15 - 2 . (x - 1) = -3
2 . (x - 1) = 15 -(-3)
2 . (x - 1) = 18
x - 1 = 18 : 2
x - 1 = 9
x = 9 + 1
x = 10
vậy x = 10
d) 2x - (3 + x) = 5 - 7
2x - (3 + x) = -2
3 + x = 2x -(-2)
3 + x - 2 = 2x
x + 1 = 2x
x + 1 = x + x
=> x = 1
vậy x = 1
k cho mk nha
a) x - 12= 91
x= 91 + 12
x= 103
b) 42 - x= 2 . 18
42 - x= 36
x = 42 - 36
x = 6
c) (13 - x ) .28 =28
13 - x= 28 : 28 =1
x= 13 - 1
x= 12
a, x - 12 = 7 . 13
x - 12 = 91
x = 91 + 12
x = 103
b, 43 - x = 2.18
43 - x = 36
x = 43 - 36
x = 6
c, ( 13 - x ). 28 = 28
13 - x = 28 ÷ 28
13 -x = 1
x = 13 - 1
x = 12
\(2x+3=15\\ \Rightarrow2x=15-3=12\\ \Rightarrow x=\dfrac{12}{2}=6\\ ---\\ 28-3x=13\\ \Rightarrow3x=28-13=15\\ \Rightarrow x=\dfrac{15}{3}=5\\ ---\\ \left(x-1954\right).5=50\\ \Rightarrow x-1954=50:5=10\\ \Rightarrow x=10+1954=1964\\ ---\\ x-152:2=46\\ \Rightarrow x-76=46\\ \Rightarrow x=46+76=122\)
a, 2\(x\) + 3 = 15
2\(x\) = 12
\(x\) = 6
b, 28 - 3\(x\) = 13
3\(x\) = 28 - 13
3\(x\) = 15
\(x\) = 5
a ) x − 1 2 = 7 13 . 13 28 ; x − 1 2 = 1 4 b ) x 15 = − 3 11 . 77 36 ; x 15 = − 7 12 ; x = 15. − 7 12 c ) x + 7 7 = 9 18 . 9 27 ; x + 1 = 1 6 d ) x : 15 11 = − 3 12 .8 ; x : 15 11 = − 2 ; x = ( − 2 ) . 15 11