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1/ xy - 7x + y = -22
=> x.(y - 7) + y - 7 + 7 = -22
=> x.(y - 7) + (y - 7) .1 = -22 - 7
=> (y - 7) . ( x + 1) = -29
=> y - 7 , x + 1 thuộc Ư(-29) = cộng trừ 1 , cộng trừ 29
Ta có bảng sau :
y - 7 | 1 | -1 | 29 | -29 |
y | 8 | 6 | 36 | -22 |
x + 1 | -29 | 29 | -1 | 1 |
x | -30 | 28 | -2 | 0 |
Vậy các cặp (x,y) là : (-30 , 8) ; (28 , 6) ; (-2 , 36) ; (0 , -22)
a) 17x + 33x = 100
<=> 50x = 100
<=> x = 2
Vậy x = 2
b) 23x + 15 ( x + 7) = 105
<=> 23x + 15x + 105 = 105
<=> 38x = 0
<=> x = 0
Vậy x = 0
c) 32 (x - 11) + 4x = 152
<=> 32x - 352 + 4x = 152
<=> 36x = 504
<=> x = 14
Vậy x = 14
d) 51 ( 3x + 5) - 406 = 22 (3x +50)
<=> 153x + 255 - 406 = 66x + 1100
<=> 87x = 1251
<=> x = \(\frac{1251}{87}\)
Vậy x = \(\frac{1251}{87}\)
Học tốt nhá :))
Bài làm :
\(a,17x+33x=100\)
\(\left(17+33\right)x=100\)
\(50x=100\)
\(x=2\)
\(b,23x+15\left(x+7\right)=105\)
\(23x+15x+105=105\)
\(38x=0\)
\(x=0\)
\(c,32\left(x-11\right)+4x=152\)
\(32x-352+4x=152\)
\(36x=504\)
\(x=14\)
\(d,51\left(3x+5\right)-406=22\left(3x+50\right)\)
\(153x+255-406=66x+1100\)
\(153x-66x=1100+406-255\)
\(87x=1251\)
\(x=\frac{1251}{87}\)
Học tốt
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 |
a/ \(51-(-12+3x)=27\)
\(\Leftrightarrow51+12-27-3x=0\Leftrightarrow36=3x\Leftrightarrow x=\frac{36}{3}=12\)
KL:........
b/ $-x + 21=15+ 2x$
\(\Leftrightarrow2x+x=21-15\Leftrightarrow2x=6\Leftrightarrow x=3\)
KL: ...........
c) $7.(x-9)-5(6-x)=-6+11.x$
\(\Leftrightarrow7x-63-30+5x=-6+11x\Leftrightarrow7x+5x-11x=-6+63+30\Leftrightarrow x=87\)
KL:............
d) $(x-3).(x^2 + 2)=0$
\(\Leftrightarrow\left[{}\begin{matrix}x-3=0\\x^2+2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=3\\x\in\varnothing\end{matrix}\right.\)\(\Leftrightarrow x=3\)
e) $|2x-7|-22=-13$
\(\Leftrightarrow\left|2x-7\right|=9\Leftrightarrow\left[{}\begin{matrix}2x-7=9\\2x-7=-9\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=8\\x=-1\end{matrix}\right.\)
KL: ...........
f) $(2x - 1)^3=-125$
\(\Leftrightarrow\left(2x-1\right)^3=\left(-5\right)^3\Leftrightarrow2x-1=-5\Leftrightarrow x=-2\)
KL: ...........
x-7-(11-3x)=22
x-7-11+3x=22
x+3x=22+7+11
4x=40
x=40:4=10
Vậy x cần tìm là 10
\(x-7-(11-3x)=22\)
\(x-7-11+3x=22\)
\((x+3x)-7-11=22\)
\(4x-7=22+11\)
\(4x-7=33\)
\(4x=33+7\)
\(4x=40\)
\(x=40:4\)
\(x=10\)
Vậy x=10
~ Hok tốt a~