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a)\(\frac{x}{5}=\frac{2}{5}\)
\(\Leftrightarrow x=\frac{2\times5}{5}=2\)
Vậy .............
b) \(\frac{3}{8}=\frac{6}{x}\)
\(\Leftrightarrow x=\frac{8\times6}{3}=16\)
Vậy ................
c) \(\frac{1}{9}=\frac{x}{27}\)
\(\Leftrightarrow x=\frac{1\times27}{9}=3\)
Vậy ................
d) \(\frac{4}{x}=\frac{8}{6}\)
\(\Leftrightarrow x=\frac{4\times6}{8}=3\)
Vậy ............
e) \(\frac{3}{x-5}=\frac{-4}{x+2}\)
\(\Leftrightarrow3\left(x+2\right)=-4\left(x-5\right)\)
\(\Leftrightarrow3x+6=-4x+20\)
\(\Leftrightarrow3x+4x=20-6\)
\(\Leftrightarrow7x=14\)
\(\Leftrightarrow x=2\)
Vậy .............
f) \(\frac{x}{-2}=\frac{-8}{x}\)
\(\Leftrightarrow x^2=16\)
\(\Leftrightarrow x=\pm4\)
Vậy ...............
\(\frac{x}{5}=\frac{2}{5}\Rightarrow x=\frac{2\times5}{5}=2\)
\(\frac{1}{9}=\frac{x}{27}\Rightarrow x=\frac{1\times27}{9}=3\)
\(\frac{4}{x}=\frac{8}{6}\Rightarrow x=\frac{8\times6}{8}=6\)
\(\frac{3}{x-5}=\frac{-4}{x+2}\)
\(\Rightarrow3.\left(x+2\right)=-4.\left(x-5\right)\)
\(\Rightarrow3x+6=-4x+20\)
\(\Rightarrow3x+4x=20-6\)
\(\Rightarrow7x=14\)
\(\Rightarrow x=2\)
Theo bài ra , ta có :
\(x+\frac{2}{3}.x-\frac{1}{2}.x=\frac{8}{5}\)
\(\Rightarrow x.\left(\frac{2}{3}-\frac{1}{2}+1\right)=\frac{8}{5}\)
\(\Rightarrow x.\frac{7}{6}=\frac{8}{5}\)
\(\Rightarrow x=\frac{8}{5}:\frac{7}{6}=\frac{8}{5}.\frac{6}{7}=\frac{48}{35}\)
Đáp số : \(\frac{48}{35}\)
\(\left(\frac{1}{4}x-1\right)+\left(\frac{5}{6}x-2\right)-\left(\frac{3}{8}x+5\right)=3,5\)
\(\Rightarrow\frac{1}{4}x-1+\frac{5}{6}x-2-\frac{3}{8}x-5=\frac{7}{2}\)
\(\Rightarrow\left(\frac{1}{4}+\frac{5}{6}-\frac{3}{8}\right)x+\left[\left(-1\right)+\left(-2\right)+\left(-5\right)\right]=\frac{7}{2}\)
\(\Rightarrow\frac{17}{24}x+\left(-8\right)=\frac{7}{2}\)
\(\Rightarrow\frac{17}{24}x=\frac{7}{2}-\left(-8\right)=\frac{23}{3}\)
\(\Rightarrow x=\frac{23}{2}:\frac{17}{24}=\frac{276}{17}\)
~ Hok tốt ~
10(x-7)-8(x+5)=6(-5)+24
(10.x - 10.7) - (8.x + 8.5) = -30 + 24
10.x - 70 - 8.x + 40 = -6
(10.x-8.x) - (70 - 40) = -6
2.x - 30 = -6
2.x = -6 + 30
2.x = 24
x = 24 : 2
x = 12
vậy_____
10( x- 7)- 8( x+ 5)= 6(- 5)+ 24.
( 10x- 70)-( 8x+ 40)=- 30+ 24.
10x- 70- 8x- 40=- 6.
( 10x- 8x)-( 70+ 40)=- 6.
2x- 110=- 6.
2x=- 6+ 110.
2x= 104.
x= 104: 2.
x= 52.
Vậy x= 52.
a -7.(5-x) -2.(x-10)=15
= -35+7x-2x+20=15=5x=30
5x=30
x=6
b 10.(x-7)-8.(x+5)=6.(-5)+24
=10x-70-8x-40= -30+24
=10x-8x = -30+24+70+40
2x = 104
x = 104:2
x = 52
\(a)-7\left(5-x\right)-2\left(x-10\right)=15\)
\(\Rightarrow-35+7x-2x+20=15\)
\(\Rightarrow-35+20+7x-2x=15\)
\(\Rightarrow-15+5x=15\)
\(\Rightarrow5x=30\Rightarrow x=6\)
\(b)10\left(x-7\right)-8\left(x+5\right)=6\left(-5\right)+24\)
\(\Rightarrow10x-70-8x-40=-30+24\)
\(\Rightarrow10x-8x-70-40=-6\)
\(\Rightarrow2x-110=-6\)
\(\Rightarrow2x=104\Rightarrow x=52\)
Vậy\(a)x=6b)x=52\)
\(\text{(x+2)(y-3)=5 }\)
\(\Rightarrow\)x+2;y-3\(\in\)Ư(5)
Mà Ư(5)={1;5;-1;-5}
Có bảng:
Th1:
x+2=1;y-3=6
=>x=-3
y=9
Tương tự 3 trường hợp còn lại
\(\left(x-5\right)^6=\left(x-5\right)^8\)
\(\left(x-5\right)^8-\left(x-5\right)^6=0\)
\(\left(x-5\right)^6.\left(x-5\right)^2-\left(x-5\right)^6.1=0\)
\(\left(x-5\right)^6.\left[\left(x-5\right)^2-1\right]=0\)
\(\Rightarrow\orbr{\begin{cases}\left(x-5\right)^6=0\\\left(x-5\right)^2-1=0\end{cases}}\Rightarrow\orbr{\begin{cases}x-5=0\\\left(x-5\right)^2=1\end{cases}}\)
=> x = 5 hoặc x - 5 = 1 hoặc -1
Với x - 5 = 1
=> x = 6
Với x - 5 = -1
=> x = 4