Question

GPT: |x - 6| = -5x + 9

Answer 1

`|x-6|=-5x+9`     `ĐK: x <= 9/5`

`<=>[(x-6=-5x+9),(x-6=5x-9):}`

`<=>[(x=5/2 (ko t//m)),(x=3/4(t//m)):}`

Answer 2

 `|x - 6| = -5x + 9`

\(\Leftrightarrow\left[{}\begin{matrix}x-6=-5x+9\\x-6=5x-9\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x+5x=9+6\\x-5x=-9+6\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}6x=15\\-4x=-3\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{15}{6}=\dfrac{5}{2}\\x=\dfrac{3}{4}\end{matrix}\right.\)

Answer 3

 

⇔⎡⎢ ⎢⎣x=156=52x=34