1) 3x+5=2x-4
2) x-7-(2x+1)=5
3) (2x-7)-(7x+5)=6
4) (x+3)-(2x+1)=5
5) x+2/3-x/2=x
6) x+7/2-x=1/2
7) (x-5)(x+3)=0
8) (x-3)(x+2)=0
9) x+1/1+1/2x=1/2
10) x+1/x+1/3=1/các cao nhân giúp mình với mai mình nộp bài rồi
1) 3x+5=2x-4
2) x-7-(2x+1)=5
3) (2x-7)-(7x+5)=6
4) (x+3)-(2x+1)=5
5) x+2/3-x/2=x
6) x+7/2-x=1/2
7) (x-5)(x+3)=0
8) (x-3)(x+2)=0
9) x+1/1+1/2x=1/2
10) x+1/x+1/3=1/các cao nhân giúp mình với mai mình nộp bài rồi
Giải thích các bước giải:
1) 3x+5=2x-4
⇒3x-2x=-4-5
⇒x=-9
2) x-7-(2x+1)=5
⇒x-7-2x+1-5=0
⇒-x-11=0
⇒x=-11
3) (2x-7)-(7x+5)=6
⇒2x-7-7x-5-6=0
⇒-5x=18
⇒x=$\frac{-18}{5}$
4) (x+3)-(2x+1)=5
⇒x+3-2x-1-5=0
⇒-x=3
⇒x=-3
5) x+$\frac{2}{3}$ -$\frac{x}{2}$ =x
⇒x+$\frac{2}{3}$ -$\frac{x}{2}$-x=0
⇒-$\frac{x}{2}$=-$\frac{2}{3}$
⇒x=$\frac{4}{3}$
6) x+7/2-x=1/2
⇒0x=-3 (vô lí)
7) (x-5)(x+3)=0
⇒x-5=0 hoặc x+3=0
⇒x=5 hoặc x=-3
8) (x-3)(x+2)=0
⇒x-3=0 hoặc x+2=0
⇒x=3 hoặc x=-2
9) x+1/1+1/2x=1/2
⇒3/2x=-1/2
⇒x=-1/3
BẠN THAM KHẢO NHA
Đang nghĩ câu $10)$ .
$1) 3x+5=2x-4$
$⇔ 5+4= 2x-3x$
$⇔ -x = 9$
$⇔ x = -9$
Vậy $x=-9$
$2) x-7-(2x+1)=5$
$⇔ x-7-2x – 1 =5$
$⇔ x – 2x = 5+1+7$
$⇔ -x = 13$
$⇔ x = -13$
Vậy $x=-13$
$3)(2x-7)-(7x+5)=6$
$⇔ 2x – 7 – 7x – 5 = 6$
$⇔ 2x – 7x = 6+5+7$
$⇔ -5x = 18$
$⇔ x = -18/5$
Vậy $x = – 18/5$
$4) (x+3)-(2x+1)=5$
$⇔ x+3 – 2x – 1 = 5$
$⇔ x – 2x = 5+1 – 3$
$⇔ -x = 3$
$⇔ x = -3$
Vậy $x=-3$
$5) $x+2/3-x/2=x$
$⇔ 2/3 – x/2 = x -x$
$⇔ 2/3 – x/2 = 0$
$⇔ x/2 = 2/3$
$⇔ x = 4/3$
Vậy $x=4/3$
$6) x+7/2-x=1/2$
$⇔ 7/2 = 1/2$ ($KTM$)
Vậy $x$ $∈$ $∅$.
$7) (x-5)(x+3)=0$
$⇒$ \(\left[ \begin{array}{l}x-5=0\\x+3=0\end{array} \right.\)
$⇔$ \(\left[ \begin{array}{l}x=5\\x=-3\end{array} \right.\)
Vậy $x$ $∈$ {$-3;5$}
$8) (x-3)(x+2)=0$
$⇒$ \(\left[ \begin{array}{l}x-3=0\\x+2=0\end{array} \right.\)
$⇔$ \(\left[ \begin{array}{l}x=3\\x=-2\end{array} \right.\)
Vậy $x$ $∈$ {$-2;3$}
$9)x+1/1+1/2x=1/2$
$⇔ x + 1 + 1/2x = 1/2$
$⇔ x+1/2.x = 1/2 – 1$
$⇔ x/1 + x/2 = -1/2$
$⇔ 2x/2 + x/2 = -1/2$
$⇔ 3x = -1$
$⇔ x = -1/3$
Vậy $x=-1/3$