Tìm các cặp số nguyên x, y, z biết:
\(\frac{{ - 4}}{8} = \frac{x}{{ - 10}} = \frac{{ - 7}}{y} = \frac{z}{{ - 24}}\)
Ta có:
\(\begin{array}{l}
\frac{{ - 4}}{8} = \frac{x}{{ - 10}} \Leftrightarrow \left( { - 4} \right).\left( { - 10} \right) = 8.x\\
\Leftrightarrow x = \frac{{40}}{8} = 5\\
\frac{{ - 4}}{8} = \frac{{ - 7}}{y} \Leftrightarrow \left( { - 4} \right).y = 8.\left( { - 7} \right)\\
\Leftrightarrow y = \frac{{ - 56}}{{ - 4}} = 14\\
\frac{{ - 4}}{8} = \frac{z}{{ - 24}} \Leftrightarrow \left( { - 4} \right).\left( { - 24} \right) = 8.z\\
\Leftrightarrow z = \frac{{96}}{8} = 12
\end{array}\)
Vậy x = 5 ; y = 14; z = 12
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