Tìm số nguyên x, biết:
a) x – 32 = − 5 − 17
b) 16 – x = 21 – − 8
c) 106 − x = − 58 – 8
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c) \(47-\left(x-15\right)=21\)
\(\Leftrightarrow x-15=47-21\)
\(\Leftrightarrow x-15=26\)
\(\Leftrightarrow x=26+15=41\)
d) \(-5-\left(24-x\right)=-11\)
\(\Leftrightarrow24-x=-5+11\)
\(\Leftrightarrow24-x=6\)
\(\Leftrightarrow x=24-6=18\)
`a)`
`x-15 = -21`
`<=> x = -21 + 15`
`<=> x = -6`
`b)`
`42 - x = -7`
`<=> x = 42 - (-7)`
`<=> x = 42 + 7`
`<=> x = 49`
`c)`
`12 - (30-x) = -23`
`30-x = 12 - (-23)`
`30-x = 35`
`x = 30-35`
`x = -5`
`d)`
`31 - (17+x)=18`
`<=> 17+x = 31-18`
`<=> 17+x =13`
`<=> x = 13-17`
`<=> x = -4`
a) \(x-15=-21\)
\(\Rightarrow x=-21+15=-6\)
b) \(42-x=-7\)
\(\Rightarrow x=42+7=49\)
c) \(12-\left(30-x\right)=-23\)
\(\Rightarrow30-x=12+23=35\)
\(\Rightarrow x=30+35=65\)
d) \(31-\left(17+x\right)=18\)
\(\Rightarrow17+x=31-18=13\)
\(\Rightarrow x=13-17=-4\)
Lời giải:
a. $\frac{x}{7}=\frac{6}{21}$
$x=\frac{6}{21}.7$
$x=2$
b.
$\frac{-5}{y}=\frac{20}{28}$
$y=-5:\frac{20}{28}$
$y=-7$
c.
$\frac{-4}{8}=\frac{-7}{y}$
$y=-7:\frac{-4}{8}$
$y=14$
a, \(\dfrac{x}{7}=\dfrac{6}{21}\Leftrightarrow\dfrac{3x}{21}=\dfrac{6}{21}\Rightarrow x=2\)
b, \(\dfrac{-5}{y}=\dfrac{20}{28}\Leftrightarrow\dfrac{20}{-4y}=\dfrac{20}{28}\Leftrightarrow y=-7\)
c, \(\dfrac{-4}{8}=-\dfrac{7}{y}\Rightarrow-4y=-56\Leftrightarrow y=14\)
a) 16-x=21+8
16-x=29
x=16-29
x=-13
b)x - 32= - 22
x = - 22 +32
x = 10
a) \(\text{16 - x = 21 - (-8).}\)
<=> \(\text{16 - x = 29.}\)
<=> \(x=-13.\)
Vậy \(x=-13.\)
b) \(\text{x - 32 = (-5) - 17}.\)
<=> \(\text{x - 32 = -22}.\)
<=> \(x=10.\)
Vậy \(x=10.\)
106 − x = − 58 – 8 106 − x = − 66 − x = − 66 − 106 − x = − 172 x = 172.
a: =>19/23>19/x>19/29
=>\(x\in\left\{24;25;26;27;28\right\}\)
b: =>88/132<88/x<88/128
=>132>x>128
=>\(x\in\left\{131;130;129\right\}\)
c: =>\(\left\{{}\begin{matrix}\dfrac{4}{x}-\dfrac{x}{8}< 0\\\dfrac{x}{8}-\dfrac{5}{x}< 0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\dfrac{32-x^2}{8x}< 0\\\dfrac{x^2-40}{8x}< 0\end{matrix}\right.\)
=>32<x^2<40
=>x=6
a) x – 32 = − 5 − 17 ⇔ x – 32 = − 32 ⇔ x = − 32 + 32 ⇔ x = 0.
b) 16 – x = 21 – − 8 ⇔ 16 – x = 21 + 8 ⇔ 16 − x = 30 ⇔ − x = 30 − 16 ⇔ − x = 14 ⇔ x = − 14.
c) 106 − x = − 58 – 8 ⇔ 106 − x = − 66 ⇔ − x = − 66 − 106 ⇔ − x = − 172 ⇔ x = 172.