Question

1, Tìm x biết :

a, 4x - 15 = 75 - x

b, 72 - 3x = 5x + 8

c, 3| x - 7 | = 21

2, Tìm n thuộc Z biết n - 3 là ước của 7

Answer 1

a/ \(4x-15=75-x\)

\(\Leftrightarrow4x+x=75+15\)

\(\Leftrightarrow5x=90\)

\(\Leftrightarrow x=19\)

Vậy ...

b/ \(72-3x=5x+8\)

\(\Leftrightarrow72-8=5x+3x\)

\(\Leftrightarrow64=8x\)

\(\Leftrightarrow x=8\)

Vậy ....

c/ \(3\left|x-7\right|=21\)

\(\Leftrightarrow\left|x-7\right|=7\)

\(\Leftrightarrow\left[{}\begin{matrix}x-7=7\\x-7=-7\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x=7\\x=0\end{matrix}\right.\)

d/ \(x-3\inƯ\left(7\right)\)

\(\Leftrightarrow\left[{}\begin{matrix}x-3=1\\x-3=7\\x-3=-1\\x-3=-7\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x=4\\x=10\\x=2\\x=-4\end{matrix}\right.\)

Vậy ..