Question

Tìm x : -15/23 : 22x/7=-14x/11: 13 4/5

Answer 1

\(-\dfrac{15}{23}:\dfrac{22x}{7}=-\dfrac{14x}{11}:\left(13+\dfrac{4}{5}\right)\)

=>\(-\dfrac{15}{23}\cdot\dfrac{7}{22x}=\dfrac{-14x}{11}:\dfrac{69}{5}\)

=>\(-\dfrac{105}{23\cdot22x}=\dfrac{-70x}{11\cdot69}\)

=>\(\dfrac{-3}{2x}=\dfrac{-2x}{3}\)

=>\(4x^2=9\)

=>\(x^2=\dfrac{9}{4}\)

=>\(\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=-\dfrac{3}{2}\end{matrix}\right.\)