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\(a,x+0,25=\dfrac{5}{4}\\ x+\dfrac{1}{4}=\dfrac{5}{4}\\ x=\dfrac{5}{4}-\dfrac{1}{4}\\ x=1\\ b,\left(3-2x\right)-3=3\\ 3-2x=3+3\\ 3-2x=6\\ 2x=3-6\\ 2x=-3\\ x=-\dfrac{3}{2}\\ c,\left(x-1\right)^5=-32\\ \left(x-1\right)^5=\left(-2\right)^5\\ \Rightarrow x-1=-2\\ x=-2+1\\ x=-1\\ d,0,2:\dfrac{6}{5}=\dfrac{2}{3}:\left(6x+7\right)\\ \dfrac{1}{5}:\dfrac{6}{5}=\dfrac{1}{9}x+\dfrac{2}{21}\\ \dfrac{1}{9}x+\dfrac{2}{21}=\dfrac{1}{6}\\ \dfrac{1}{9}x=\dfrac{1}{6}-\dfrac{2}{21}\\ \dfrac{1}{9}x=\dfrac{1}{14}\\ x=\dfrac{1}{14}:\dfrac{1}{9}\\ x=\dfrac{9}{14}\)
Các câu sau làm tương tự nhé! ( mỏi tay lắm)
e, Áp dụng tính chất của dãy tỉ số bằng nhau, ta có:
\(\dfrac{x}{3}=\dfrac{y}{4}=\dfrac{x-y}{3-4}=\dfrac{12}{-1}=-12\\ \Rightarrow\left\{{}\begin{matrix}x=-12\cdot3=-36\\y=-12\cdot4=-48\end{matrix}\right.\)
g, Ta có : \(\dfrac{x}{19}=\dfrac{y}{21}=\dfrac{2x}{38}=\dfrac{y}{21}\)
Áp dụng tính chất của dãy tỉ số bằng nhau, ta có:
\(\dfrac{2x}{38}=\dfrac{y}{21}=\dfrac{2x-y}{38-21}=\dfrac{34}{17}=2\\ \Rightarrow\left\{{}\begin{matrix}x=\dfrac{2\cdot38}{2}=38\\y=2\cdot21=42\end{matrix}\right.\)
H, Thiếu đề.
Tiện tay làm luôn
a)\(\frac{-11}{12}.x+0,25=5\)
\(\Rightarrow-\frac{11}{12}.x=5-0,25=\frac{19}{4}\)
\(\Rightarrow-\frac{11}{12}.x=\frac{19}{4}\)
\(\Rightarrow x=\frac{-57}{11}\)
b)\(\left(x-1\right)^5=-32=-2^5\)
\(\Rightarrow\left(x-1\right)=-2\)
\(\Rightarrow x=-2+1=-1\)
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. \(x=\dfrac{-2}{15}-\dfrac{3}{10}\)
\(x=\dfrac{-13}{30}\)
b. \(\dfrac{-11}{12}x+\dfrac{1}{4}=\dfrac{5}{6}\)
\(\dfrac{-11}{12}x=\dfrac{5}{6}-\dfrac{1}{4}\)
\(\dfrac{-11}{12}x=\dfrac{7}{12}\)
\(x=\dfrac{7}{12}:\dfrac{-11}{12}\)
\(x=\dfrac{-7}{11}\)
c:=>2003x+2005003=2004
=>2003x=-2002999
hay \(x\in\varnothing\)
a, x + 1/9 - 3/5 = 3/6
x + 1/9 = 3/6 - 3/5
x + 1/9 = -1/10
x = -1/10 - 1/9
x = -19/90