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a)-16=7-x-32=-25-x
x=-25+16=-9
b)x-25+x=x-15
2x-25=x-15
2x=x-15+25=x+10
x=10
c)14-27+13=x-3+14
0=x+11
x=-11
a/ x - ( 25 - x) = x - 15
=> x - 25 + x = x - 15
=> 2x - x = -15 + 25
=> x = 10
b/ x - 8 = -13 - 8
=> x = -13 - 8 + 8 = -13
c/ x - (-15) = 5 - (-19)
=> x + 15 = 5 + 19 => x = 5 + 19 - 15 = 9
d/ (x + 35) = 2x + 15 + (13 - 4)
=> x + 35 = 2x + 15 + 13 - 4
=> x - 2x = 15 + 13 - 4 - 35
=> -x = -11 => x = 11
e/ 5 - 2x = 15-(-9) - 3x
=> 5 - 2x = 15 + 9 - 3x
=> -2x + 3x = 15 + 9 - 5
=> x = 19
g/ x + 135 = 3x - 15
=> x - 3x = -15 - 135
=> -2x = -150
=> x = -150/ - 2 = 75
a) 4x - 15 = -75 -x
4x+x = -75 + 15
5x = 60
x= 60: 5
=> x= 12
b) 3| x-7| = 21
|x-7|= 21:3
|x-7|=7
=> x-7 =7 hoặc x-7=-7
+) x-7=7
x=7+7=14
+) x-7=-7
x= -7+7=0
=> x=14 hoặc x=0
c) Áp dụng t/c phân số bằng nhau
=> x= \(\frac{-3.\left(-2\right)}{6}\)=\(\frac{6}{6}\)=1
Thay x=1 => y= \(\frac{\left(-2\right).\left(-18\right)}{1}\)=\(\frac{36}{1}\)=36
Thay y =36 => z=\(\frac{\left(-18\right).24}{36}\)=\(\frac{-432}{36}\)=-12
vậy (x,y,z)= (1;36;-12)
(câu d dài quá vs lại cx dễ nên bn tự lm nha mk chỉ giúp đến đây thôi)
a) \(5x-65=5.3^2 \\ 5x-65=45\\5x=45+65\\5x=110\\x=22\)
b) \(200-(2x+6)=4^3\\2x+6=200-4^3\\2x+6=136\\2x=130\\x=65\)
c) \(2(x-51)=2.2^3+20\\2(x-51)=16+20\\2(x-51)=36\\x-51=18\\x=51+18=69\)
d) \(135-5(x+4)=35\\5(x+4)=135-45\\5(x-4)=90\\x-4=18\\x=18+4=22\)
e) \((2x-4)(15-3x)=0\\2(x-2).3(5-x)=0\\(x-2)(5-x)=0\\ \left[ \begin{array}{l}x-2=0\\5-x=0\end{array} \right. \\ \left[ \begin{array}{l}x=2\\x=5\end{array} \right.\)
f) \(2^{x+1} . 2^{2014}=2^{2016} \\ (2^{x+1} . 2^{2014}):2^{2014}=2^{2016} :2^{2014} \\ 2^{x=1}=2^{2016-2014} \\2^{x+1}=2^2\\x+1=2\\x=1\)
g) \(15+(x-1)^3=43\\(x-1)^3=15-42\\(x-1)^3=-27\\(x-1)^3=(-3)^3\\x-1=-3\\x=-2\)
h) \(15-x=17+(-9)\\15-x=17-9\\15-x=8\\x=15-8\\x=7\)
i) \(|x-5|=|-7|+|-4|\\|x-5|=7+4\\|x-5|=11\\ \left[ \begin{array}{l}x-5=11\\x-5=-11\end{array} \right. \\ \left[ \begin{array}{l}x=16\\x=-6\end{array} \right.\)
k) \(|x-3|-12=-9+|-7|\\|x-3|-12=-9+7\\|x-3|-12=-2\\|x-3|=10 \\ \left[ \begin{array}{l}x-3=10\\x-3=-10\end{array} \right. \\ \left[ \begin{array}{l}x=13\\x=-7\end{array} \right.\)
a, 2x+1 chia hết cho x-1
=>2x-2+3 chia hết cho x-1
=>2(x-1)+3 chia hết cho x-1
=>3 chia hết cho x-1
=>x-1 E Ư(3)={1;-1;3;-3}
=>x E {2;0;4;-2}
b, 3x+2 chia hết cho 2x-1
=>2(3x+2)-3(2x-1) chia hết cho 2x-1
=>6x+4-6x-3 chia hết cho 2x-1
=>1 chia hết cho 2x-1
=>2x-1 E Ư(1)={1;-1}
=>x E {1;0}
Bài 1:
a) Ta có: 2x-16=0
\(\Leftrightarrow2x=16\)
hay x=8
Vậy: x=8
b) Ta có: 36-2x=12
\(\Leftrightarrow2x=24\)
hay x=12
Vậy: x=12
c) Ta có: 3(x+15)=-9
\(\Leftrightarrow x+15=-3\)
hay x=-18
Vậy: x=-18
d) Ta có: 15:(x-13)=-3
\(\Leftrightarrow x-13=-5\)
hay x=8
Vậy: x=8
a, x+35= 2x+15+(13-4)
\(\Leftrightarrow x-2x=15-35+9\)
\(\Leftrightarrow-x=-11\)
\(\Leftrightarrow x=11\)
b, 5-2x =15-(-9)-3x
\(\Leftrightarrow-2x+3x=15+9-5\)
\(\Leftrightarrow x=19\)
c, x+135 =3x -15
\(\Leftrightarrow x-3x=-15-135\)
\(\Leftrightarrow-2x=-150\)
\(\Leftrightarrow x=\frac{-150}{-2}=75\)
a) x + 35 = 2x + 15 + ( 13 - 4 )
x - 2x = - 35 + 15 + 13 - 4
-x = - 20 + 9
-x = - 11
\(\Rightarrow\) x = 11
Vậy x = 11
b) 5 - 2x = 15 - ( -9 ) - 3x
-2x + 3x = 15 + 9 - 5
x = 24 - 5
x = 19
Vậy x = 19
c) x + 135 = 3x - 15
x - 3x = -135 - 15
-2x = -150
x = -150 : (-2)
x = 75
Vậy x = 75
Chúc bạn học tốt nha !
Tick cho mk nha bạn !