Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
( 2 x y + 2/15 ) x 3 = 4/5
( 2 x y + 2/15 ) = 4/5 : 3
( 2 x y + 2/15 ) = 4/15
2 x y = 4/15 - 2/15
2 x y = 2/15
y = 2/15 :2
y = 1/15
(2 x y + 2/15) x 3 = 4/5
2 x y + 2/15) = 4/5 : 3
2 x y + 2/15 = 4/15
2 x y = 4/15 - 2/15
2 x y = 2/15
y = 2/15 : 2
y = 1/15
7/9 x (2 - 1/3 x y) = 14/15
(2 - 1/3 x y) = 14/15 : 7/9
(2 - 1/3 x y) = 6/5
2 - y = 6/5 x 1/3
2 - y = 2/5
y = 2/5 + 2
y = 12/5
4/21 + 5 x y - 8/7 = 1/3
4/21 + 5 x y = 1/3 + 8/7
4/21 + 5 x y = 31/21
5 x y = 31/21 - 4/21
5 x y = 9/7
y = 9/7 : 5
y = 9/35
7/12 x y - 3/12 x y = 5
y x (7/12 - 3/12) = 5
y x 1/3 = 5
y = 5 : 1/3
y = 15
\(\frac{6}{7}.y+\frac{7}{18}+\frac{1}{7}.y=\frac{7}{18}\)
\(\frac{6}{7}.y+\frac{1}{7}.y+\frac{7}{18}=\frac{7}{18}\)
\(\frac{6}{7}.y+\frac{1}{7}.y=\frac{7}{18}-\frac{7}{18}\)
\(y.\left(\frac{6}{7}+\frac{1}{7}\right)=0\)
\(y.1=0\)
\(y=0:1\)
\(y=0\)
x/7+1/14=1/y
suy ra x/7<2y>+1/14<y>=1/y<14>
suy ra xy/14y+1y/14y=14/14y
suy ra xy+y=14
suy ra ư(14)=(1;-1;2;-2;7;-7;14;-14)
ta có bảng
\(\frac{x}{7}+\frac{1}{14}=-\frac{1}{y}\)
\(\frac{2x}{14}+\frac{1}{14}=-\frac{1}{y}\)
\(\frac{2x-1}{14}=-\frac{1}{y}\)(1)
\(\Rightarrow y\left(2x-1\right)=-14\)
\(2x-1=-\frac{14}{y}\)
Thay \(2x-1=-\frac{14}{y}\)vào (1) , ta được
\(\frac{-\frac{14}{y}}{14}=-\frac{1}{y}\)
\(-y=-\frac{1}{y}\)
\(-y^2=-1\)
\(y=1\)hoặc \(y=-1\)
Thay y vào tính x ( tự tính nha )
b: =>x-3-5x+15=7
=>-4x+12=7
=>-4x=-5
hay x=5/4
c: =>y(x-7)-2(x-7)=5
=>(x-7)(y-2)=5
\(\Leftrightarrow\left(x-7;y-2\right)\in\left\{\left(1;5\right);\left(5;1\right);\left(-1;-5\right);\left(-5;-1\right)\right\}\)
hay \(\left(x,y\right)\in\left\{\left(8;7\right);\left(12;3\right);\left(8;-3\right);\left(2;1\right)\right\}\)
1.
a, \(x-14=3x+18\)
\(\Rightarrow x-3x=18+14\)
\(\Rightarrow-2x=32\Rightarrow x=\frac{32}{-2}=-16\)
b, \(\left(x+7\right).\left(x-9\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x+7=0\\x-9=0\end{cases}\Rightarrow\orbr{\begin{cases}x=-7\\x=9\end{cases}}}\)
c, \(\left|2x-5\right|-7=22\)
\(\Rightarrow\left|2x-5\right|=22+7\)
\(\Rightarrow\left|2x-5\right|=29\)
\(\Rightarrow\orbr{\begin{cases}2x+5=29\\2x-5=29\end{cases}}\Rightarrow\orbr{\begin{cases}2x=24\\2x=34\end{cases}\Rightarrow}\orbr{\begin{cases}x=12\\x=17\end{cases}}\)
d, \(\left(\left|2x\right|-5\right)-7=22\)
\(\Rightarrow\left(\left|2x\right|-5\right)=29\)
\(\Rightarrow\left|2x\right|=29+5\Rightarrow\left|2x\right|=34\Rightarrow x=\pm17\)
e, \(\left|x+3\right|+\left|x+9\right|+\left|x+5\right|=4x\)
Vì \(\left|x+3\right|\ge0;\left|x+9\right|\ge0;\left|x+5\right|\ge0;4x\ge0\)
Nên \(\left|x+3\right|+\left|x+9\right|+\left|x+5\right|=4x\ge0\)
\(\Rightarrow\left|x+3\right|>0\Rightarrow\left|x+3\right|=x+3\)
\(\left|x+9\right|>0\Rightarrow\left|x+9\right|=x+9\)
\(\left|x+5\right|>0\Rightarrow\left|x+5\right|=x+5\)
Ta có :
\(x+3+x+9+x+5=4x\)
\(\Rightarrow3x+\left(3+9+5\right)=4x\)
\(\Rightarrow4x-3x=17\)
\(\Rightarrow x=17\)
2. a , b sai đề bn
c, \(\left(5x+1\right).\left(y-1\right)=4\)
\(\Rightarrow\left(5x+1\right).\left(y-1\right)\inƯ\left(4\right)\)
\(\text{ }Ư\left(4\right)=\left\{1;-1;2;-2;4;-4\right\}\)
Ta có bảng sau :
5x+1 | 1 | -1 | 2 | -2 | 4 | -4 |
y-1 | -4 | 4 | -2 | 2 | -1 | 1 |
x | 0 | -2/5 | 1/5 | -3/5 | 3/5 | -1 |
y | -3 | 5 | -1 | 3 | 0 | 2 |
d, \(5xy-5x+y=5\)
\(\Rightarrow\left(5xy-5x\right)+y=5\)
\(\Rightarrow5x.\left(y-1\right)+y=5\)
\(\Rightarrow\left(5x+1\right).\left(y-1\right)=4\)
\(\Rightarrow\left(5x+1\right).\left(y-1\right)\inƯ\left(4\right)\)
\(Ư\left(4\right)=\left\{1;-1;2;-2;4;-4\right\}\)
Ta có bảng sau :
5x+1 | 1 | -1 | 2 | -2 | 4 | -4 |
y-1 | -4 | 4 | -2 | 2 | -1 | 1 |
x | 0 | -2 | 1/5 | -3/5 | 3/5 | -1 |
y | -3 | 5 | -1 | 3 | 0 | 2 |
\(\dfrac{x}{7}+\dfrac{1}{y}=-\dfrac{1}{14}\)
=>\(\dfrac{xy+7}{7y}=\dfrac{-1}{14}\)
=>\(\dfrac{xy+7}{y}=\dfrac{-1}{2}\)
=>\(2\left(xy+7\right)=-y\)
=>2xy+y=-14
=>y(2x+1)=-14
=>\(\left(2x+1;y\right)\in\left\{\left(1;-14\right);\left(-14;1\right);\left(-1;14\right);\left(14;-1\right);\left(2;-7\right);\left(-7;2\right);\left(-2;7\right);\left(7;-2\right)\right\}\)
=>\(\left(x;y\right)\in\left\{\left(0;-14\right);\left(-15;1\right);\left(-1;14\right);\left(\dfrac{13}{2};-1\right);\left(\dfrac{1}{2};-7\right);\left(-8;2\right);\left(-\dfrac{3}{2};7\right);\left(3;-2\right)\right\}\)