a) ( 100000 - 991 ) : x = 9

99009 : x = 9

x = 99009 : 9

x =11001

1) \(\Rightarrow\dfrac{x}{8}=\dfrac{y}{12}=\dfrac{z}{15}\)

Áp dụng t/c dtsbn:

\(\dfrac{x}{8}=\dfrac{y}{12}=\dfrac{z}{15}=\dfrac{x-y+z}{8-12+15}=\dfrac{10}{11}\)

\(\Rightarrow\left\{{}\begin{matrix}\dfrac{x}{8}=\dfrac{10}{11}\\\dfrac{y}{12}=\dfrac{10}{11}\\\dfrac{z}{15}=\dfrac{10}{11}\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}x=\dfrac{80}{11}\\y=\dfrac{120}{11}\\z=\dfrac{150}{11}\end{matrix}\right.\)

2) \(\Rightarrow\left\{{}\begin{matrix}\dfrac{x}{3}=\dfrac{y}{4}\\\dfrac{y}{5}=\dfrac{z}{7}\end{matrix}\right.\) \(\Rightarrow\dfrac{x}{15}=\dfrac{y}{20}=\dfrac{z}{28}\)

Áp dụng t/c dtsbn:

\(\dfrac{x}{15}=\dfrac{y}{20}=\dfrac{z}{28}=\dfrac{2x}{30}=\dfrac{3y}{60}=\dfrac{2x+3y-z}{30+60-28}=\dfrac{136}{62}=\dfrac{68}{31}\)

\(\Rightarrow\left\{{}\begin{matrix}\dfrac{x}{15}=\dfrac{68}{31}\\\dfrac{y}{20}=\dfrac{68}{31}\\\dfrac{z}{28}=\dfrac{68}{31}\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}x=\dfrac{1020}{31}\\y=\dfrac{1360}{31}\\z=\dfrac{1904}{31}\end{matrix}\right.\)

3) \(\Rightarrow\dfrac{3x-9}{15}=\dfrac{5y-25}{5}=\dfrac{7z+21}{49}\)

Áp dụng t/c dtsbn:

\(\dfrac{3x-9}{15}=\dfrac{5y-25}{5}=\dfrac{7z+21}{49}=\dfrac{3x+5y-7z-9-25-21}{15+5-49}=-\dfrac{45}{29}\)

\(\Rightarrow\left\{{}\begin{matrix}\dfrac{3x-9}{15}=-\dfrac{45}{29}\\\dfrac{5y-25}{5}=-\dfrac{45}{29}\\\dfrac{7z+21}{49}=-\dfrac{45}{29}\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}x=-\dfrac{138}{29}\\y=\dfrac{100}{29}\\z=-\dfrac{402}{29}\end{matrix}\right.\)

a) `3(2-x)+5(x-6)=-98`

`6-3x+5x-30=-98`

`-3x+5x=-98-6+30`

`2x=-74`

`x=-37`

b) `(x+7)(8-x)=0`

\(\left[{}\begin{matrix}x+7=0\\8-x=0\end{matrix}\right.\\ \left[{}\begin{matrix}x=-7\\x=8\end{matrix}\right.\)

a, \(3\left(2-x\right)+5\left(x-6\right)=-98\)

\(6-3x+5x-30=-98\)

\(2x-24=-98\)

\(2x=-74\)

\(x=-37\)

b,\(\left(x+7\right)\left(8-x\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=-7\\x=8\end{matrix}\right.\)

-Chúc bạn học tốt-

Giải:

a) \(3.\left(2-x\right)+5.\left(x-6\right)=-98\) 

           \(6-3x+5x-30=-98\) 

                       \(-3x+5x=-98-6+30\) 

                                  \(2x=-74\) 

                                    \(x=-74:2\) 

                                    \(x=-37\) 

b) \(\left(x+7\right).\left(8-x\right)=0\) 

\(\Rightarrow\left[{}\begin{matrix}x+7=0\\8-x=0\end{matrix}\right.\) 

\(\Rightarrow\left[{}\begin{matrix}x=-7\\x=8\end{matrix}\right.\) 

Chúc bạn học tốt!

3.(x - 2) + 150 = 240

3.(x - 2) = 240 - 150

3.(x - 2) = 90

x - 2 = 90 : 3

x - 2 = 30

x = 30 + 2

x = 32

Vậy x = 32

Ủng hộ mk nha ^_-

ta lấy 240-150=90 ra 3.(x-2)=90 rồi ta lấy 90:3=30 xong ta lấy 30 +2=32 vậy x = 32.sorry mình ko thể trình bày được.

3.(x-2)+150=240

3.(x-2)       =240-150

3.(x-2)       =90

    x-2        =90/3

    x-2        =30

    x           =30+2

    x           =32

vậy x = 32

a) \(\left(x-1\right)^3+3\left(x+1\right)^2=\left(x^2-2x+4\right)\)

\(\Leftrightarrow x^3+9x+2=x^3+8\)

\(\Leftrightarrow x^3+9x=x^3+8-2\)

\(\Leftrightarrow x^3+9x=x^3+6\)

\(\Leftrightarrow x^3+9x=x^3+6x-x^3\)

\(\Leftrightarrow\frac{2}{3}\)

b) \(x^2-4=8\left(x-2\right)\)

\(\Leftrightarrow x^2-4=8x-16\)

\(\Leftrightarrow x^4-4=8x-16+16\)

\(\Leftrightarrow x^2+12=8x\)

\(\Leftrightarrow x^2+12=8x-8x\)

\(\Leftrightarrow x^2-8x+12=0\)

\(\Rightarrow\orbr{\begin{cases}x=2\\x=6\end{cases}}\)

`x:3/6=5/6`

`x=5/6xx3/6`

`x=15/36`

a)  x : 3/6 = 5/6  

     x = 5/6 x 3/6

     x= 15/36

x= \(\dfrac{5}{6}\)x\(\dfrac{3}{6}\)

x= \(\dfrac{15}{36}\)

x=\(\dfrac{5}{12}\)