Bài 15 trang 7 SBT toán 6 tập 2

Đề bài

Tìm các số nguyên \(x, y, z\) biết:

\(\displaystyle{{ - 4} \over 8} = {x \over { - 10}} = {{ - 7} \over y} = {z \over { - 24}}.\)

Lời giải

Ta có: 

+) \(\displaystyle{{ - 4} \over 8} = {x \over { - 10}}\) nên \(\displaystyle\left( { - 4} \right).\left( { - 10} \right) = 8.x \)

\(\displaystyle\Rightarrow x = {{ - 4.( - 10)} \over 8} = {{40} \over 8} = 5\)

+) \(\displaystyle{{ - 4} \over 8} = {{ - 7} \over y}\) nên \(\displaystyle\left( { - 4} \right).y = 8.\left( { - 7} \right) \)

\(\displaystyle\Rightarrow y = {{8.( - 7)} \over { - 4}} = {{ - 56} \over { - 4}} = 14\)

+) \(\displaystyle{{ - 4} \over 8} = {z \over { - 24}}\) nên \(\displaystyle\left( { - 4} \right).\left( { - 24} \right) = 8.z \)

\(\displaystyle\Rightarrow z = {{( - 4).( - 24)} \over 8} = {{96} \over 8} = 12\)

Vậy \(x=5\,;\; y = 14\,;\; z = 12.\)


Quote Of The Day

“Two things are infinite: the universe and human stupidity; and I'm not sure about the universe.”