7/x = y/81 = -42/54
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a. x -6 = 35 : 7 + 42 : 6
=> x - 6 = 5 + 7
=> x -6 = 12
=> x = 12 + 6
=> x = 18
Các câu sau tương tự, bạn học tốt nha! .-.
a)x-6=5+7
x-6=12
x=6.
b)x-2=42-13
x-2=29
x=29+2
x=31
c)(36+81):x=13
117:x=13
x=117:13
x=9.
ta có:
\(\frac{7}{x}=\frac{y}{21}=\frac{-42}{54}\)
=> \(\frac{7}{x}=\frac{-42}{54}\Rightarrow x=\frac{7\cdot54}{\left(-42\right)}=-9\)
=> \(\frac{y}{21}=\frac{-42}{54}\Rightarrow y=\frac{21\cdot\left(-42\right)}{54}=-16\frac{1}{3}\)
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`A)2/3=x/60`
`=>40/60=x/60`
`=>x=40`
`B)-1/2=y/18`
`=>-9/18=y/18`
`=>y=-9`
`C)3/x=y/35=-36/84`
Mà `-36/84=(-3 xx 12)/(7 xx 12)=-3/7`
`=>3/x=-3/7`
`=>x=-7`
`y/35=-3/7=-15/35`
`=>y=-15`
`D)7/x=y/27=-42/54`
Mà `-42/54=(-7 xx 6)/(9 xx 6)=-7/9`
`=>7/x=-7/9`
`=>x=-9`
`y/27=-7/9=-21/27`
`=>y=-21`
x,y khác 0 đặt \(\left\{{}\begin{matrix}\dfrac{1}{x}=a\\\dfrac{1}{y}=b\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}81a+105b=8\\54a+42b=4\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}9.9.2a+105.2.b=8.2\\9.6.3a+42.3b=4.3\end{matrix}\right.\)
\(\Leftrightarrow\left(105.2-42.3\right)b=8.2-4.3=4\left(4-3\right)=4\)
\(\Leftrightarrow\left(105-21.3\right)b=2\)
\(\Leftrightarrow3\left(35-21\right)b=2\Rightarrow b=\dfrac{2}{3.14}=\dfrac{1}{3.7}=\dfrac{1}{21}\)
\(54a+42.\dfrac{1}{21}=4\Leftrightarrow54a+2=4\)
\(\left\{{}\begin{matrix}b=\dfrac{1}{21}\\a=\dfrac{1}{27}\end{matrix}\right.\)\(\Rightarrow\left\{{}\begin{matrix}x=27\\y=21\end{matrix}\right.\)
Ta có
7/x = -42/54 => x= 7.54/-42 =>x=-9 (tmđk)
y/21 = -42/54 => y= -42.21/54 => y= -49/3
\(\frac{7}{x}=\frac{y}{21}=\frac{-42}{54}\)
Ta có : \(\frac{-42}{54}=\frac{-42:6}{54:6}=\frac{-7}{9}\)
+) \(\frac{7}{x}=\frac{-7}{9}\)=> 7.9 = (-7).x => (-7).x = 63 => x = -9
+) \(\frac{y}{21}=\frac{-7}{9}\)=> y.9 = 21.(-7) => y.9 = -147 => y = -49/3
Vậy x = 9,y = -49/3
\(\frac{7}{x}=\frac{y}{81}=-\frac{42}{54}\)
\(+,\frac{7}{x}=-\frac{42}{54}\Rightarrow378=-42x\Rightarrow x=-9\)
\(+,\frac{y}{81}=-\frac{42}{54}\Rightarrow54y=-3402\Rightarrow y=-63\)