Tìm x biết ​\(\begin{array}{l} - \frac{1}{3}x - \frac{1}{4} = \frac{5}{3} \end{array}\)

Câu hỏi :

Tìm x biết \(\begin{array}{l} - \frac{1}{3}x - \frac{1}{4} = \frac{5}{3} \end{array}\)

A.  \(x = - \frac{{23}}{4}\)

B.  \(x = - \frac{{11}}{4}\)

C.  \(x = - \frac{{5}}{4}\)

D.  \(x = - \frac{{9}}{4}\)

* Đáp án

A

* Hướng dẫn giải

Ta có:

\(\begin{array}{l} - \frac{1}{3}x - \frac{1}{4} = \frac{5}{3}\\ - \frac{1}{3}x = \frac{5}{3} + \frac{1}{4}\\ - \frac{1}{3}x = \frac{{23}}{{12}}\\ x = \frac{{23}}{{12}}:\left( { - \frac{1}{3}} \right)\\ x = - \frac{{69}}{{12}} = - \frac{{23}}{4} \end{array}\)

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