Tìm x:
x+30= 10 x 85 + 85 x 9
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( x+1) + (x+2) +( x+3) +...+( x+9)+(x+10) = 85
\(x+1+x+2+x+3+...+x+9+x+10=85\)
\(10\times x+\left(1+2+3+...+9+10\right)=85\)
\(10\times x+\left[\left(1+10\right)\times10:2\right]=85\)
\(10\times x+55=85\)
\(10\times x=85-55\)
\(10\times x=30\)
\(x=30:10\)
\(x=3\)
( x + 1 ) + ( x + 2 ) + ( x + 3 ) + .......... + ( x + 9 ) + ( x + 10) = 85
x . 10 + ( 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 ) = 85
x . 10 + 55 = 85
x . 10 = 85 - 55
x . 10 = 30
x = 30 : 10
x = 3
Vậy x = 3
\(X:\dfrac{3}{9}=\dfrac{7}{8}\)
\(X=\dfrac{7}{8}\times\dfrac{3}{9}\)
\(X=\dfrac{21}{72}\)
\(\left(X-21\times13\right):11=30\)
\(X-273=330\)
\(X=603\)
`x:3/9=7/8`
`x=7/8xx3/9`
`x=7/24`
`-------------`
`(x-21xx13):11=30`
`(x-273):11=30`
`x-273=30xx11`
`x-273=330`
`x=330-273`
`x=57`
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 \(x=-6;x=16\)
do |17x - 85| lớn hơn hoặc = 0 mà - |85 - 17x| bé hơn hoặc bằng 0
=> đẳng thức t/m <=> |17x-85| = - |85 - 17x| = 0
<=> 17x - 85 = 85 - 17x
<=> 34x = 170
<=> x = 5
\(Vì:\)
|17x-85| \(\ge\) 0 và - |85-17x| \(\le\)0
\(\Rightarrow\)|17x-85| = -|85-17x| \(\Leftrightarrow\)|17x-85| = -|85-17x| = 0
=>17x - 85 = 0
=>x= 85:17=5
x + 30 = 10 x 85 + 85 x 9
x + 30 = 1615
x = 1615 - 30
x = 1585
x+30=10x85+9×85
x+30=85×(10+9)
x+30=85×19
x+30=1615
x=1615-30
x=1585