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\(a,\dfrac{3}{4}x-\dfrac{2}{3}x=\dfrac{2}{7}\times\dfrac{1}{6}+\dfrac{5}{7}\times\dfrac{1}{6}\)
\(\dfrac{9}{12}x-\dfrac{8}{12}x=\dfrac{1}{6}\times\left(\dfrac{2}{7}+\dfrac{5}{7}\right)\)
\(\dfrac{1}{12}x=\dfrac{1}{6}\)
\(x=\dfrac{1}{6}:\dfrac{1}{12}\)
\(x=\dfrac{1}{6}\times12\)
\(x=2\)
5.
$4x+3\vdots x-2$
$\Rightarrow 4(x-2)+11\vdots x-2$
$\Rightarrow 11\vdots x-2$
$\Rightarrow x-2\in \left\{1; -1; 11; -11\right\}$
$\Rightarrow x\in \left\{3; 1; 13; -9\right\}$
6.
$3x+9\vdots x+2$
$\Rightarrow 3(x+2)+3\vdots x+2$
$\Rightarrow 3\vdots x+2$
$\Rightarrow x+2\in \left\{1; -1; 3; -3\right\}$
$\Rightarrow x\in \left\{-1; -3; 1; -5\right\}$
7.
$3x+16\vdots x+1$
$\Rightarrow 3(x+1)+13\vdots x+1$
$\Rightarrow 13\vdots x+1$
$\Rightarrow x+1\in \left\{1; -1; 13; -13\right\}$
$\Rightarrow x\in\left\{0; -2; 12; -14\right\}$
8.
$4x+69\vdots x+5$
$\Rightarrow 4(x+5)+49\vdots x+5$
$\Rightarrow 49\vdots x+5$
$\Rightarrow x+5\in\left\{1; -1; 7; -7; 49; -49\right\}$
$\Rightarrow x\in \left\{-4; -6; 2; -12; 44; -54\right\}$
** Bổ sung điều kiện $x$ là số nguyên.
1. $x+9\vdots x+7$
$\Rightarrow (x+7)+2\vdots x+7$
$\Rightarrow 2\vdots x+7$
$\Rightarrow x+7\in \left\{1; -1; 2; -2\right\}$
$\Rightarrow x\in \left\{-6; -8; -5; -9\right\}$
2. Làm tương tự câu 1
$\Rightarrow 9\vdots x+1$
3. Làm tương tự câu 1
$\Rightarrow 17\vdots x+2$
4. Làm tương tự câu 1
$\Rightarrow 18\vdots x+2$
a) | 5/4x -7/2| - | 5/8x + 3/5| = 0
|5/4x - 7/2| = | 5/8x + 3/5|
TH1: 5/4x - 7/2 = 5/8x + 3/5
=> 5/4x - 5/8x = 3/5 +7/2
5/8x = 41/10
x = 41/10:5/8
x = 164/25
TH2: 5/4x - 7/2 = -5/8x - 3/5
=> 5/4x + 5/8x = -3/5 +7/2
15/8x = 29/10
x = 29/10 : 15/8
x = 116/75
KL: x = 164/25 hoặc x = 116/75
các bài cn lại b lm tương tự nha! h lm dài lắm!
nhiều quá :((
\(a,2\left(x-5\right)-3\left(x+7\right)=14\)
\(2x-10-3x-21=14\)
\(-x-31=14\)
\(-x=45\)
\(x=45\)
\(b,5\left(x-6\right)-2\left(x+3\right)=12\)
\(5x-30-2x-6=12\)
\(3x-36==12\)
\(3x=48\)
\(x=16\)
\(c,3\left(x-4\right)-\left(8-x\right)=12\)
\(3x-12-8+x=0\)
\(4x-20=0\)
\(4x=20\)
\(x=5\)
Cố nốt nha bn !
cảm ơn, bn nha:)))
mà hình như bạn TOP 3 trả lời câu hỏi pải ko nhỉ???
Lời giải:
1. $(x+2)-2=0$
$x+2=2$
$x=0$
2.
$(x+3)+1=7$
$x+3=7-1=6$
$x=6-3=3$
3.
$(3x-4)+4=12$
$3x-4+4=12$
$3x=12$
$x=12:3=4$
4.
$(5x+4)-1=13$
$5x+4=13+1=14$
$5x=14-4=10$
$x=10:5=2$
5.
$(4x-8)-3=5$
$4x-8=5+3=8$
$4x=8+8=16$
$x=16:4=4$
6.
$3+(x-5)=7$
$x-5=7-3=4$
$x=4+5=9$
7.
$8-(2x-4)=2$
$2x-4=8-2=6$
$2x=6+4=10$
$x=10:2=5$
8.
$7+(5x+2)=14$
$5x+2=14-7=7$
$5x=7-2=5$
$x=5:5=1$
9.
$5-(3x-11)=1$
$3x-11=5-1=4$
$3x=11+4=15$
$x=15:3=5$
10.
$16-(8x+2)=6$
$8x+2=16-6=10$
$8x=10-2=8$
$x=8:8=1$
a/ (ghi lại cái đề)
=>+ 3x-7=2
3x=2+7=9
x=3
+ 3x-7=-2
3x=-2+7=5
x=\(\frac{5}{3}\)
b/ (5x-10)2=100
=> +5x-10=10
5x=10+10=20
x=4
+ 5x-10=-10
5x=-10+10=0
x=0
`3/4x - 2/3x =2/7*1/6+5/7*1/6`
`-> x(3/4-2/3)=1/6(2/7+5/7)`
`-> 1/12x=1/6`
`-> x=1/6 \div 1/12`
`-> x=2`
Vậy, `x=2`.
3/4x - 2/3x = 2/7 . 1/6 + 5/7 . 1/6
=> x( 3/4-2/3)= 2/7
=> x. 1/12 = 2/7
=> x= 2/7: 1/12
=>x= 24/7
Vậy...