Giải các phương trình sau : `a, 3x+1=7x-11` `b, 5-3x=6x+7` `c,11-2x=x-1` `d,15-8x=9-5x` 15/11/2021 Bởi aihong Giải các phương trình sau : `a, 3x+1=7x-11` `b, 5-3x=6x+7` `c,11-2x=x-1` `d,15-8x=9-5x`
`a)` `3x+1=7x-11` `<=>3x-7x=-1-11` `<=>-4x=-12` `<=>x=-12:-4` `<=>x=3` Vậy `S = {3}` `b)` `5-3x=6x+7` `<=>-3x-6x=-5+7` `<=>-9x=2` `<=>x=2:-9` `<=>x=-2/9` Vậy S` = {-2/9}` `c)` `11-2x=x-1` `<=>-2x-x=-11-1` `<=>-3x=-12` `<=>x=-12:-3` `<=>x=4` Vậy `S={4}` `d)` `15-8x=9-5x` `<=>-8x+5x=-15+9` `<=>-3x=-6` `<=>x=-6:-3` `<=>x=2` Vậy `S={2}` Bình luận
Đáp án: a)3x+1=7x-11 ⇔3x-7x=-11-1 ⇔-4x=-12 ⇔x=3 b, 5-3x=6x+7 ⇔5-7=6x+3x ⇔-2=9x ⇔x=$\frac{-2}{9}$ c, 11-2x=x-1 ⇔11+1=x+2x ⇔12=3x ⇔x=4 d, 15-8x=9-5x ⇔15-9=-5x+8x ⇔6=3x ⇔x=2 Bình luận
`a)`
`3x+1=7x-11`
`<=>3x-7x=-1-11`
`<=>-4x=-12`
`<=>x=-12:-4`
`<=>x=3`
Vậy `S = {3}`
`b)`
`5-3x=6x+7`
`<=>-3x-6x=-5+7`
`<=>-9x=2`
`<=>x=2:-9`
`<=>x=-2/9`
Vậy S` = {-2/9}`
`c)`
`11-2x=x-1`
`<=>-2x-x=-11-1`
`<=>-3x=-12`
`<=>x=-12:-3`
`<=>x=4`
Vậy `S={4}`
`d)` `15-8x=9-5x`
`<=>-8x+5x=-15+9`
`<=>-3x=-6`
`<=>x=-6:-3`
`<=>x=2`
Vậy `S={2}`
Đáp án:
a)3x+1=7x-11
⇔3x-7x=-11-1
⇔-4x=-12
⇔x=3
b, 5-3x=6x+7
⇔5-7=6x+3x
⇔-2=9x
⇔x=$\frac{-2}{9}$
c, 11-2x=x-1
⇔11+1=x+2x
⇔12=3x
⇔x=4
d, 15-8x=9-5x
⇔15-9=-5x+8x
⇔6=3x
⇔x=2