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a: =>4/x=y/21=4/7
=>x=7; y=21*4/7=12
b: x/7=9/y
=>xy=63
mà x>y
nên \(\left(x,y\right)\in\left\{\left(63;1\right);\left(21;3\right);\left(9;7\right);\left(-7;-9\right);\left(-3;-21\right);\left(-1;-63\right)\right\}\)
c: x/15=3/y
=>xy=45
mà x<y<0
nên \(\left(x,y\right)\in\left\{\left(-45;-1\right);\left(-15;-3\right);\left(-9;-5\right)\right\}\)
d: x/y=21/28=3/4
=>x/3=y/4=k
=>x=3k; y=4k(k\(\in Z\))
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, \(\dfrac{-4}{8}=-\dfrac{7}{y}\Rightarrow-4y=-56\Leftrightarrow y=14\)
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a) \(\frac{x}{6}=\frac{5}{24}\Rightarrow x=\frac{5}{24}.6=\frac{5}{4}\)
b) \(-\frac{4}{y}=\frac{20}{14}\Rightarrow y=-4:\frac{20}{14}=-\frac{14}{5}\)
c) \(\frac{4}{7}=\frac{12}{x}\Rightarrow x=12:\frac{4}{7}=21\)
d) \(\frac{3}{7}=\frac{y}{21}\Rightarrow y=\frac{3}{7}.21=9\)
a.x/3=7/y
suy ra 3.7=x.y
suy ra 21=x.y
mà 21=-3.-7=3.7=1.21=-1.-21
vậy (x;y)E{(-3;-7);(-7;-3);(7;3);(3;7);(1;21);(21;1);(-1;-21);(-21;-1)}
b.x-3/27=7/21
suy ra (x-3).21=27.7
suy ra (x-3).21=189
suy ra(x-3)=189:21=9
suy ra x=9+3=12
vậy x =12
k cho mình như
\(\frac{x}{6}=\frac{7}{y}\)
<=> xy=7.6=42
x , y nguyên và x<y<0 nên
x | -7 | -14 | -21 | -42 |
y | -6 | -3 | -2 | -1 |
\(\frac{x}{6}=\frac{7}{y}\)
APTC dãy j j bằng nhau ( đc ko , tui cx chả nhớ cái đó nữa )
\(\Leftrightarrow xy=7.6\)
Do đó : \(\frac{x}{6}=42\)hay \(x:6=42\)
\(\Leftrightarrow x=42.6\Leftrightarrow x=252\)
\(\frac{7}{y}=42\)hay \(7:y=42\)
\(\Leftrightarrow y=7:42\Leftrightarrow y=\frac{7}{42}\)
Vì theo đề bài ta có x<y<0
=> \(\Rightarrow\hept{\begin{cases}x=252\\y=\frac{7}{42}\left(l\right)\end{cases}}\)toi cảm thấy sai sai hay sao ý
\(\frac{x}{12}=\frac{5}{4}\)l
\(\Rightarrow x=\frac{5.12}{4}\)
\(\Rightarrow x=15\)
\(\frac{-8}{x}=\frac{16}{6}\)
\(\Rightarrow x=\frac{-8.6}{16}\)
\(\Rightarrow x=-3\)
Từ
Suy ra x . 21 = 6 . 7
x . 21 = 42
x = 42 : 21
x = 2.
Vậy x = 2.