8) 2x + 7 = x – 1 9) x + 3 = – 9 – 11 10) 5 – x = 17 – (– 5) 11) – x – 14 + 35 = – 23 12) (– 5).x = (– 6). (– 10) 13) 9.x = (– 12). (– 60) 14) (7 – x).(13 + x) = 0 15) – 9.[x + (– 2)] = 0
2 câu trả lời
Đáp án:
`8)` `2x + 7 = x - 1`
`<=>` `2x - x = -7 - 1`
`=>` `x = -8`
Vậy `:` `x = -8`.
`9)` `x + 3 = -9 - 11`
`<=>` `x + 3 = -20`
`<=>` `x = -20 - 3`
`=>` `x = -23`
Vậy `:` `x = -23`.
`10)` `5 - x = 17 - ( - 5 )`
`<=>` `5 - x = 17 + 5`
`<=>` `5 - x = 22`
`<=>` `x = 5 - 22`
`=>` `x = -17`
Vậy `:` `x = -17`.
`11)` `-x - 14 + 35 = -23`
`<=>` `-x - 14 = -23 - 35`
`<=>` `-x -14 = -58`
`<=>` `-x = -58 + 14`
`<=>` `-x = -44`
`=>` `x = 44`
Vậy `:` `x = 44`.
`12)` `( - 5 ) . x = ( -6 ) . ( - 10 )`
`<=>` `(-5).x = 60`
`<=>` `x = 60 : ( -5 )`
`=>` `x = -12`
Vậy `:` `x = -12`.
`13)` `9 . x = ( - 12 ) . ( - 60 )`
`<=>` `9 . x = 720`
`<=>` `x = 720 : 9`
`=>` `x = 80`
Vậy `:` `x = 80`.
`14)` `( 7 - x ). ( 13 + x ) = 0`
`<=>` \(\left[ \begin{array}{l}7-x = 0\\13+x=0\end{array} \right.\)
`=>` \(\left[ \begin{array}{l}x = 7\\x=-13\end{array} \right.\)
Vậy `:` `x ∈ { 7 ; -13 }`.
`15)` `-9 . [ x + ( - 2 ) ] = 0`
`<=>` `x - 2 = 0`
`<=>` `x = 0 + 2`
`=>` `x = 2`
Vậy `:` `x = 2`.
Đáp án:`+`Giải thích các bước giải:
`8)` `2x+7=x−1`
`2x+7``=` `x-1`
`2x+7−7=x−1−7x`
`2x=x-1-7`
`2x-x=x−8-x`
`1x=x-8-x`
`x=x-8-x`
`x=8`
`=>``Vậy` `x=8`
`9)` `x+3=–9– 11`
`x+3=−20`
`x+3−3=−20−3`
`x=-20-3`
`=-23`
`=>``Vậy` `x=-23`
`10)` `5–x=17–(– 5)`
`−x+5=17−(−5)`
`−x+5=17+5`
`−x+5=22`
`−x+5−5=22−5`
`-x=22-5`
`-x=17`
`=>``Vậy` `x=17`
`11)` ```–x–14+35```=`– 23`
`−x+21=−23`
`−x+21−21=−23−21`
`-x=-23-21`
`-x=-44`
`=>``Vậy` `x=-44`
`12)` `(–5).x=(–6).(–10)`
`(-5).x=60`
`x=60:(-5)`
`x=-12`
`=>``Vậy` `x=-12`
`13)` `9.x=(–12).(–60)`
`9x=−12(−60)`
`9x=720`
`x=720:9`
`x=80`
`=>``Vậy` `x=80`
`14)` `(7–x).(13+x)=0`
$\left[\begin{matrix} 7-x=0\\ 13+x=0\end{matrix}\right.$ `=>` $\left[\begin{matrix} x=7\\ x=-13\end{matrix}\right.$
`=>``Vậy` `x=(7,-13)`
`15)` `– 9.[x+(–2)]=0`
`−9[−2x]=0`
`18x=0`
`x=0:8`
`x=0`
`=>``Vậy` `x=0`