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Bài 1:
a) \(24 - (-15) - 2\)
\(=39-2\)
\(=37\)
b) \((-85) + 10 - (-85) - 50\)
\(=[(-85)-(-85)]+10-50\)
\(=0+10-50\)
\(=10-50\)
\(=-40\)
c) \(71 - (-30) - (+18) + (-30)\)
\(=[(-30)-(-30)]+71-(+18)\)
\(=0+71-18\)
\(=71-18\)
\(=53\)
d) \(-(30) - (+37) + (+37) + (-85)\)
\(=[-(+37)+(+37)]-(30)+(-85)\)
\(=0-(30)+(-85)\)
\(=(-30)+(-85)\)
\(=-115\)
e) \((35-815) - (795-65)\)
\(=(-780)-730\)
\(=-1510\)
g) \((2002-79+15) + (-79+15)\)
\(=1938+(-64)\)
\(=1874\)
Bài 2:
a) \(25 - (30+x) = x - (27-8)\)
\(25-30-x=x-27+8\)
\(x+x=25-30+27-8\)
\(2x=14\)
\(x=14\div2\)
\(x=7\)
b) \((x-12) - 15 = (20-17) - (18+x) \)
\(x-12-15=13-18-x\)
\(x-27=-5-x\)
\(x+x=-5+27\)
\(2x=22\)
\(x=22\div2\)
\(x=11\)
c) \(15 - x = 7 - (-2)\)
\(15-x=9\)
\(x=15-9\)
\(x=6\)
d) \(x - 35 = (-12) - 3\)
\(x-35=-15\)
\(x=-15+35\)
\(x=20\)
e) \(\left|5-x\right|-26=-15\)
\(\left|5-x\right|=-15+26\)
\(\left|5-x\right|=11\)
Từ đây ta có:
*Nếu \(5-x=11\)
\(x=5-11\)
\(x=-6\)
*Nếu \(5-x=-11\)
\(x=5-(-11)\)
\(x=16\)
Vậy \(x=-6;x=16\)
1) 9-25=(7-x)-(25+7)
(7-x)-(25+7)=9-25
(7-x)-(25+7)=-16
(7-x)-32=-16
7-x=-16+32
7-x=16
x=7-16
x=-9
2) (27-514) -(486-73)+x=7
(27-514) -(486-73)+x=7
-487-413+x=7
-1011+x=7
x=7-(-1011)
x=7+1011
x=1018
3) 25+5+37-25+6-29-x=37
25+5+37-25+6-29-x=37
67-25+6-29-x=37
42+6-29-x=37
48-29-x=37
19-x=37
x=19-37
x=-18
4) 14+(-12)+x =10-/-15/+ /-3/
14+(-12)+x =10-15+3
14+(-12)+x =-5+3
14+(-12)+x =-2
2+x=-2
x=-2-2
x=-4
17x + 3. ( -16x – 37) = 2x + 43 - 4x
<=>17x-48x-111=-2x+43
<=>-29x=154
<=> \(x=-\frac{154}{29}\)
-3. (2x + 5) -16 < -4. (3 – 2x)
\(\Leftrightarrow-6x-31< -12+8x.\)
\(\Leftrightarrow-14x< 19\Rightarrow x< -\frac{19}{14}\)
\(15-3\left(x-2\right)=21\)
\(\Leftrightarrow15-3x+6=21\)
\(\Leftrightarrow21-3x=21\)
\(\Leftrightarrow-3x=0\)
\(\Leftrightarrow x=0\)
Vậy ...
\(25+4\left(3-x\right)=1\)
\(\Leftrightarrow25+12-4x=1\)
\(\Leftrightarrow37-4x=1\)
\(\Leftrightarrow4x=36\)
\(\Leftrightarrow x=9\)
Vậy ...
15-3(x-2)=21
3(x-2)=15-21
3(x-2)=-6
x-2=-6:3
x-2=-2
x=-2+2
x=0
vậy x=0
25+4(3-x)=1
4(3-x)=1-25
4(3-x)=-24
3-x=-24:6
3-x=-4
x=3-(-4)
x=7
vậy x=7
= ( -25) x 1 +72 x (-25) + (-25) x27
= (- 25) x ( 1 + 72 + 27 )
= (-25) x 100
=-2500
b
c 37 x ( 25 + 37 ) - 27 x ( 37 + 25 )
= 37 x 25 + 37 x 37 -27x37 -27x25
= ( 37 x25 -27x25 )+(37x37-27+37)
=25 x ( 37 -27 ) + 37 x (37 - 27)
= 25 x10 + 37x10
= 250 + 370
= 770
a) =-25.( 1+72+27)
=-25.100= - 2500
b) = -36.45 + (-36) . 15 - (-36) . 40
= - 36. ( 45+15-40)
= -36 . 20= -720
c) =37.62 - 27 .62
= 62. ( 37 - 27 )
= 62 . 10
= 620
Bài làm
Ta có: 3/x = 21/35y = y/25 = -18/z = 1/15
=> z = -18 . 15 : 1 = -270
=> y = 25 . ( -18 ) : z = 25 . ( -18 ) : ( -270 ) = 5/3
=> x = 3 . 35y : 21 = 3 . 35 . 5/3 : 21 = 25/3
Vậy x = 25/3, y = 5/3, z = -270
\(\frac{3}{x}=\frac{21}{35y}=\frac{y}{25}=-\frac{18}{z}=\frac{1}{15}\)
Xét : \(\frac{3}{x}=\frac{1}{15}\Leftrightarrow45=x\Leftrightarrow x=45\)
Xét : \(\frac{y}{25}=\frac{1}{15}\Leftrightarrow15y=25\Leftrightarrow y=\frac{5}{3}\)
Xét : \(-\frac{18}{z}=\frac{1}{15}\Leftrightarrow-270=x\Leftrightarrow x=-270\)
\(x\left(x-2\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x-2=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x=2\end{cases}}\)
\(-2x-\left(x-17\right)=34-\left(-x+25\right)\)
\(-2x-x+17=34+x-25\)
\(-2x-x-x=34-25-17\)
\(-4x=-8\Leftrightarrow x=2\)
\(17x-\left(16x-37\right)=2x+43\)
\(17x-16x+37=2x+43\)
\(17x-16x-2x=-37+43\)
\(-x=6\Leftrightarrow x=6\)
\(-2x-3\left(x+17\right)=34-2\left(-x+25\right)\)
\(-2x-3x-51=34+2x-50\)
\(-2x-3x-2x=34-50+51\)
\(-7x=35\Leftrightarrow x=-5\)
\(37-\left(3^x-1-15\right)=25\)
\(\Leftrightarrow\)\(37-3^x+1+15=25\)
\(\Leftrightarrow\)\(53-3^x=25\)
\(\Leftrightarrow\)\(3^x=53-25=28\)
37-(3x-1-15)=25
3x-1-15 = 37-25
3x-16 = 12
3x = 12 + 18
3x = 30
đến đây thỳ thấy đề nó sai sai