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a. -3/4 x 12/-5 x (-25/6)=-15/2
b. -2 x -38/21 x -7/4 x (-3/8)=-19/8
c. (11/12: 33/16) x 3/5=4/15
d. 7/23 x [(-8/6)- 45/18]=-7/6
Bài 1:
a; \(\dfrac{7}{8}\) + \(x\) = \(\dfrac{4}{7}\)
\(x\) = \(\dfrac{4}{7}\) - \(\dfrac{7}{8}\)
\(x\) = \(\dfrac{32}{56}\) - \(\dfrac{49}{56}\)
\(x=-\) \(\dfrac{49}{56}\)
Vậy \(x=-\dfrac{49}{56}\)
b; 6 - \(x\) = - \(\dfrac{3}{4}\)
\(x\) = 6 + \(\dfrac{3}{4}\)
\(x\) = \(\dfrac{24}{4}+\dfrac{3}{4}\)
\(x=\dfrac{27}{4}\)
Vậy \(x=\dfrac{27}{4}\)
c; \(\dfrac{1}{-5}\) + \(x\) = \(\dfrac{3}{4}\)
\(x\) = \(\dfrac{3}{4}\) + \(\dfrac{1}{5}\)
\(x=\dfrac{15}{20}\) + \(\dfrac{4}{20}\)
\(x=\dfrac{19}{20}\)
Vậy \(x=\dfrac{19}{20}\)
Bài 1:
d; - 6 - \(x\) = - \(\dfrac{3}{5}\)
\(x\) = - 6 + \(\dfrac{3}{5}\)
\(x=-\dfrac{30}{5}\) + \(\dfrac{3}{5}\)
\(x=-\dfrac{27}{5}\)
Vậy \(x=-\dfrac{27}{5}\)
e; - \(\dfrac{2}{6}\) + \(x\) = \(\dfrac{5}{7}\)
\(x\) = \(\dfrac{5}{7}\) + \(\dfrac{2}{6}\)
\(x\) = \(\dfrac{15}{21}\) + \(\dfrac{1}{3}\)
\(x=\dfrac{15}{21}\) + \(\dfrac{7}{21}\)
\(x=\dfrac{22}{21}\)
Vậy \(x=\dfrac{22}{21}\)
f; - 8 - \(x\) = - \(\dfrac{5}{3}\)
\(x\) = \(-\dfrac{5}{3}\) + 8
\(x\) = \(\dfrac{-5}{3}\) + \(\dfrac{24}{3}\)
\(x\) = \(\dfrac{-19}{3}\)
Vậy \(x=-\dfrac{19}{3}\)
a) \(\left(\frac{1}{3}.x\right):\frac{2}{3}=\frac{7}{4}:\frac{2}{5}\)
\(\left(\frac{1}{3}.x\right):\frac{2}{3}=\frac{35}{8}\)
\(\Rightarrow\frac{1}{3}.x=\frac{35}{8}.\frac{2}{3}\)
\(\Rightarrow\frac{1}{3}.x=\frac{35}{12}\)
\(\Rightarrow x=\frac{35}{12}:\frac{1}{3}\)
\(\Rightarrow x=\frac{35}{4}\)
Vậy \(x=\frac{35}{4}\)
5\(x\) - 16 = 40 + \(x\)
5\(x\) - \(x\) = 40 + 16
4\(x\) = 56
\(x=56:4\)
\(x=14\)
Vậy \(x=14\)
b; 4\(x\) - 10 = 15 - \(x\)
4\(x\) + \(x\) = 15 +10
5\(x=25\)
\(x=25:5\)
\(x=5\)
Vậy \(x=5\)
c; -12 + \(x\) = 5\(x-20\)
5\(x\) = - 12 + \(x\) + 20
5\(x\) - \(x\) = - 12+ 20
4\(x\) = 8
\(x=\dfrac{8}{4}\)
\(x=2\)
Vậy \(x=2\)
d; \(x+15\) = 7 - 6\(x\)
6\(x\) = 7 - \(x\) - 15
6\(x\) + \(x\) = 7 - 15
7\(x\) = - 8
\(x=-\dfrac{8}{7}\)
Vậy \(x=-\dfrac{8}{7}\)
Câu 1:
a)Áp dụng tc dãy tỉ:
\(\frac{x}{3}=\frac{y}{7}=\frac{x+y}{3+7}=\frac{20}{10}=2\)
\(\Rightarrow\begin{cases}\frac{x}{3}=2\Rightarrow x=6\\\frac{y}{7}=2\Rightarrow y=14\end{cases}\)
b)Áp dụng tc dãy tỉ:
\(\frac{x}{5}=\frac{y}{2}=\frac{x-y}{5-2}=\frac{6}{3}=2\)
\(\Rightarrow\begin{cases}\frac{x}{5}=2\Rightarrow x=10\\\frac{y}{2}=2\Rightarrow y=4\end{cases}\)
Câu 2:
a)\(\frac{x}{7}=\frac{18}{14}\Rightarrow14x=18\cdot7\)
\(\Rightarrow14x=126\)
\(\Rightarrow x=9\)
b và c đề có vấn đề
Câu 1:
a) Giải:
Áp dụng tính chất dãy tỉ số bằng nhau ta có:
\(\frac{x}{3}=\frac{y}{7}=\frac{x+y}{3+7}=\frac{20}{10}=2\)
+) \(\frac{x}{3}=2\Rightarrow x=6\)
+) \(\frac{y}{7}=2\Rightarrow y=14\)
Vậy cặp số \(\left(x,y\right)\) là \(\left(6,14\right)\)
b) Giải:
Áp dụng tính chất dãy tỉ số bằng nhau ta có:
\(\frac{x}{5}=\frac{y}{2}=\frac{x-y}{5-2}=\frac{6}{3}=2\)
+) \(\frac{x}{5}=2\Rightarrow x=10\)
+) \(\frac{y}{2}=2\Rightarrow y=4\)
Vậy cặp số \(\left(x,y\right)\) là \(\left(10,4\right)\)
Câu 3:
Giải:
Áp dụng tính chất dãy tỉ số bằng nhau:
\(\frac{x}{2}=\frac{y}{4}=\frac{z}{6}=\frac{x-y+z}{2-4+6}=\frac{8}{4}=2\)
+) \(\frac{x}{2}=2\Rightarrow x=4\)
+) \(\frac{y}{4}=2\Rightarrow y=8\)
+) \(\frac{z}{6}=2\Rightarrow z=12\)
Vậy bộ số \(\left(x,y,z\right)\) là \(\left(4,8,12\right)\)
Câu 4:
Giải:
Đặt \(\frac{a}{b}=\frac{c}{d}=k\)
\(\Rightarrow a=bk,c=dk\)
Ta có:
\(\frac{a+b}{a-b}=\frac{bk+b}{bk-b}=\frac{b\left(k+1\right)}{b\left(k-1\right)}=\frac{k+1}{k-1}\) (1)
\(\frac{c+d}{c-d}=\frac{dk+d}{dk-d}=\frac{d\left(k+1\right)}{d\left(k-1\right)}=\frac{k+1}{k-1}\) (2)
Từ (1) và (2) suy ra \(\frac{a+b}{a-b}=\frac{c+d}{c-d}\)
a,
\(5^{x+4}-3.5^{x+3}=2.5^{11}\)
\(\Rightarrow5^{x+3}\left(5-3\right)=2.5^{11}\)
\(\Rightarrow5^{x+3}2=2.5^{11}\)
\(\Rightarrow5^{x+3}=5^{11}\)
\(\Rightarrow x+3=11\)
\(\Rightarrow x=8\)
b, (Check lai xem de sai o dau khong nhe)
\(3.5^{x+2}+4.5^{x+3}=19.5^{10}\)
Dat 5x ra ben ngoai
\(\Rightarrow5^x.5^23+5^x:5^{-3}.4\)
\(\Rightarrow5^x\left(5^2.3+5^{-3}.4\right)\)
\(\Rightarrow5^x\left(5^{-3}.5^5.3+5^{-3}.4\right)\)
\(\Rightarrow5^x[5^{-3}\left(5^53+4\right)\)
\(\Rightarrow5^x[5^{-3}\left(3125.3+4\right)\)
\(\Rightarrow5^x\left(5^{-3}\right).9379\)
=> Khong tim duoc gia tri cua x \(\Rightarrow x\in\varnothing\)
a)x/0,9=5/6 =>6x=5.0,9=4,5
=>x=4,5/6=0,75
b)16/x2=x/-4 =>16.(-4)=x3 =>x3=-64=(-4)3 =>x=-4
c)x/2=8/x =>x2=2.8=16 => x=+-4
d)x-1/x+2=x+2/x+3 =>(x+2)(x+2)=(x-1)(x+3)
=>x2+4x+4=x2+2x-3
=>x2-x2+4x-2x+4+3=0
=>2x+7=0
=>2x=-7 =>x=-7/2=-3,5
a) có \(\dfrac{x}{0,9}=\dfrac{5}{6}\)
x.6=5.0,9
x.6=\(\dfrac{9}{2}\)
x=\(\dfrac{9}{2}:6\)
x=\(\dfrac{9}{2}.\dfrac{1}{6}\)
x=\(\dfrac{3}{4}\)
b) \(\dfrac{16}{x^2}=\dfrac{x}{-4}\)
16.(-4)=\(x^3\)
-64=\(x^3\)
Mà 64=(-4)^3
Suy ra x=-4
c)\(\dfrac{x}{2}=\dfrac{8}{x}\)
x.x=8.2
\(x^2\) =16
Suy ra x=4 hoặc x=-4
d) \(\dfrac{x-1}{x+2}=\dfrac{x+2}{x+3}\)
(x-1)(x+3)=(x+2)(x+2)
\(x^2+3x-x-3=x^2+2x+2x+4\)
\(x^2-4x-3=x^2+4x+4\)
8x=-7
x=-7/8
A, -5(x-7)-7(x+3)=8 <=> -5x+35-7x+21=8<=>-12x=-48<=>x=4
B, 6(x+1)-5(x-2)=8<=>6x+6-5x+10=8<=>x=-8
C, 3x+4x+5x+6x=30<=>18x=30<=>x=\(\dfrac{5}{3}\)
D, (x+1)+(x+2)+(x+3)+...+(x+10)=144
<=> (x+x+x+x+x+x+x+x+x+x)+(1+2+3+4+5+6+7+8+9+10)=144
<=>10x+55=144<=>10x=89<=>x=\(\dfrac{89}{10}\)