Question

(3/8x-11/5).(-2/7x+0,85)=0

Answer 1

\(\left(\dfrac{3}{8}x-\dfrac{11}{5}\right)\cdot\left(-\dfrac{2}{7}x+0,85\right)=0\)

`=>`\(\left[{}\begin{matrix}\dfrac{3}{8}x-\dfrac{11}{5}=0\\-\dfrac{2}{7}x+\dfrac{17}{20}=0\end{matrix}\right.\)

\(\left[{}\begin{matrix}\dfrac{3}{8}x=\dfrac{11}{5}\\-\dfrac{2}{7}x=-\dfrac{17}{20}\end{matrix}\right.\)

\(\left[{}\begin{matrix}x=\dfrac{11}{5}\cdot\dfrac{8}{3}\\x=\left(-\dfrac{17}{20}\right)\cdot\left(-\dfrac{7}{2}\right)\end{matrix}\right.\)

\(\left[{}\begin{matrix}x=\dfrac{88}{15}\\x=\dfrac{119}{40}\end{matrix}\right.\)

`=>`\(x\in\left\{\dfrac{88}{15};\dfrac{119}{40}\right\}\)

Answer 2

`<=>` \(\left[{}\begin{matrix}\dfrac{3}{8}x-\dfrac{11}{5}=0\\-\dfrac{2}{7}x+0,85=0\end{matrix}\right.\)

`<=>` \(\left[{}\begin{matrix}x=\dfrac{88}{15}\\x=\dfrac{119}{40}\end{matrix}\right.\)