Question

(3,5 + 2x). \(\dfrac{8}{3}\)= 5\(\dfrac{1}{3}\)

Giúp mình với!

Answer 1

(3,5+2x)\(\times\dfrac{8}{3}=5\dfrac{1}{3}\)

=\(\left(\dfrac{7}{2}+2x\right)\times\dfrac{8}{3}=\dfrac{16}{3}\)

=\(\dfrac{7}{2}\times\dfrac{8}{3}+2x\times\dfrac{8}{3}=\dfrac{16}{3}\)

\(2x\times\dfrac{8}{3}=\dfrac{16}{3}-\dfrac{7}{2}\times\dfrac{8}{3}\)

\(2x\times\dfrac{8}{3}=-4\)

\(2x=-4:\dfrac{8}{3}\)

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

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

\(x=\dfrac{-3}{4}\)

Answer 2

\(\left(3.5+2x\right)\times\dfrac{8}{3}=5\dfrac{1}{3}\)

\(\Rightarrow\left(3.5+2x\right)=\dfrac{16}{3}\times\dfrac{8}{3}=\dfrac{128}{9}\)

\(\Rightarrow2x=\dfrac{128}{9}-3.5\)