Question

\(\dfrac{2x-5}{3}=\dfrac{x+2}{2}\)      help em vs mn ơi

Answer 1

\(\left(2x-5\right).2=\left(x+2\right).3\)

\(\Rightarrow4x-10=3x+6\)

\(\Rightarrow x=16\)

Answer 2

\(\dfrac{2x+5}{3}=\dfrac{x+2}{2}\)

MTC : 6

Quy đồng mẫu thức :

\(\Rightarrow\) \(\dfrac{2\left(2x+5\right)}{6}=\)\(\dfrac{3\left(x+2\right)}{6}\)

 Suy ra : 2(2x + 5) = 3(x + 2)

          \(\Leftrightarrow\) 4x + 10 = 3x + 6

          \(\Leftrightarrow\) 4x + 10 - 3x - 6 = 0

          \(\Leftrightarrow\) x + 4 = 0

          \(\Leftrightarrow\) x = - 4

       Vậy S = \(\left\{-4\right\}\)

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