Question

a)\(\dfrac{-10}{8}=\dfrac{x}{-4}=\dfrac{-2}{y}=\dfrac{z}{-12}\)

Answer 1

\(\dfrac{-10}{8}=\dfrac{x}{-4}=\dfrac{-2}{y}=\dfrac{z}{-12}\)

Xét : \(\dfrac{-10}{8}=\dfrac{x}{-4}\)

Rút gọn \(\dfrac{-10}{8}=\dfrac{-10\div\left(-2\right)}{8\div\left(-2\right)}=\dfrac{5}{-4}\)

Vì \(\dfrac{5}{-4}\)\(=\dfrac{x}{-4}\)

\(\Rightarrow x=5\)

Xét : \(\dfrac{-10}{8}=\dfrac{-2}{y}\)

Rút gọn \(\dfrac{-10}{8}=\dfrac{\left(-10\right)\div5}{8\div5}=\dfrac{-2}{\dfrac{8}{5}}\)

Vì \(\dfrac{-2}{\dfrac{8}{5}}\)\(=\dfrac{-2}{y}\)

\(\Rightarrow y=\dfrac{8}{5}\)

Xét : \(\dfrac{-10}{8}=\dfrac{z}{-12}\)

Rút gọn \(\dfrac{-10}{8}=\dfrac{\left(-10\right)\div2}{8\div2}=\dfrac{-5}{4}\)

Quy đồng \(\dfrac{-5}{4}=\dfrac{\left(-5\right)\times\left(-3\right)}{4\times\left(-3\right)}=\dfrac{15}{-12}\)

Vì \(\dfrac{15}{-12}=\dfrac{z}{-12}\)

\(\Rightarrow z=15\)

Vậy \(\left\{{}\begin{matrix}x=5\\y=\dfrac{8}{5}\\z=15\end{matrix}\right.\)

Answer 2

x=5

y=

z=15

Answer 3

Vì \(\dfrac{-10}{8}=\dfrac{x}{-4}\)

\(\Rightarrow\) -10( -4 )= 8x

40=8x

x=5

Vì\(\dfrac{x}{-4}=\dfrac{-2}{y}\Rightarrow\dfrac{5}{-4}=\dfrac{-2}{y}\)

\(\Rightarrow\)5y = -2( -4 )

5y = 8

đến đoạn này hình như sai đề ko ra