Question

Tìm các số nguyên x, y, z, t biết: -6/12 = x/8 = -7/y = z/-18=16/t

Answer 1

Giải:

Theo đề ra, ta có:

\(\dfrac{x}{8}=-\dfrac{7}{y}=\dfrac{z}{-18}=\dfrac{16}{t}=-\dfrac{6}{12}\)

\(\Leftrightarrow\dfrac{x}{8}=-\dfrac{7}{y}=-\dfrac{z}{18}=\dfrac{16}{t}=-\dfrac{1}{2}\)

\(\Leftrightarrow\left\{{}\begin{matrix}\dfrac{x}{8}=-\dfrac{1}{2}\\-\dfrac{7}{y}=-\dfrac{1}{2}\\-\dfrac{z}{18}=-\dfrac{1}{2}\\\dfrac{16}{t}=-\dfrac{1}{2}\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x=-\dfrac{1}{2}.8\\y=-7:\left(-\dfrac{1}{2}\right)\\z=-\dfrac{1}{2}.\left(-18\right)\\t=16:\left(-\dfrac{1}{2}\right)\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x=-4\\y=14\\z=9\\t=-32\end{matrix}\right.\)

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