Tìm x, biết: \(x.\frac{9}{{ - 13}} = \frac{{ - 33}}{{26}}\)

Câu hỏi :

Tìm x, biết: \(x.\frac{9}{{ - 13}} = \frac{{ - 33}}{{26}}\)

A. \(\frac{{6}}{11}\)

B. \(\frac{{-6}}{11}\)

C. \(\frac{{11}}{6}\)

D. \(\frac{{-11}}{6}\)

* Đáp án

C

* Hướng dẫn giải

Vì \(x.\frac{9}{{ - 13}} = \frac{{ - 33}}{{26}};\) nên \(x = \frac{{ - 33}}{{26}}:\frac{9}{{ - 13}};\)

Mà \(\frac{{ - 33}}{{26}}:\frac{9}{{ - 13}} = \frac{{ - 33}}{{26}}.\frac{{ - 13}}{9} = \frac{{\left( { - 33} \right).\left( { - 13} \right)}}{{26.9}} = \frac{{11.3.13}}{{2.3.3.13}} = \frac{{11}}{6};\)

Vậy \(x = \frac{{11}}{6}.\)

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