Quá đơn giản :

2x³-1 = 15

=> 2x³=16

=> x³ = 8

=> x  =2

Thay x vào \(\frac{x+16}{9}\)

=> \(\frac{2+16}{9}=2\)

=> \(2=\frac{y-25}{16}\)

=> y-25 = 32

=> y = 57

=> \(2=\frac{z+9}{25}\)

=> z + 9 = 50

=> ...

Đ/S:  ...

Đặt \(\frac{x-16}{9}=\frac{y-25}{16}=\frac{x+9}{25}=k\)

\(\Rightarrow\hept{\begin{cases}x=9k+16\\y=16k+25\\z=25k-9\end{cases}}\Rightarrow x+y+z=9k+16+16k+25+25k-9=50k+32\)

Xét 2x³-1=15

=>2x³=15+1=16

=>x³=16:2=8

=>x³=2³

=>x=2

=>k=\(\frac{2-16}{9}=\frac{-14}{9}\)

=>x+y+z=\(50.\frac{-14}{9}+32=\frac{-412}{9}\)

Do 2x^3-1=15= =>2x^3=16 =>x^3m=8 =>x=2

ta co x-16/9 =y-25/16 =z+9/25 =x-16+y-25+z+25/   9+16+25  =x+y+z-32 /50  (1)

thay x=2 vao (1) ta co 2-16/9= -14/9=x+y+z-32 /50 =>x+y+z-32 =-700/9

=>x+y+z=-412/9

2x^3-1=15 => 2x^3 = 15+1 = 16

=> x^3=16:2=8 = 2^3

=> x=2

Khi đó : y-25/16=z+9/25=x+16/9 = 2+16/9 = 2

=> y = 57 ; z = 41

=> x+y+z = 2+57+41 = 100

k mk nha

2x³ - 1 = 15 <=> 2x³ = 16

<=> x³ = 8 = 2³

=> x = 2

\(\Leftrightarrow\frac{2+16}{9}=\frac{18}{9}=2\)

\(\Leftrightarrow\frac{y-25}{16}=2\) => y - 25 = 32 => y = 57

\(\Leftrightarrow\frac{z+9}{25}=2\) => z + 9 = 50 => z = 41

Vậy x = 2; y = 57; z = 41

Theo đề bài, ta có:

\(2x^3-1=15\)

\(\Rightarrow2x^3=15+1\)

\(\Rightarrow2x^3=16\)

\(\Rightarrow x^3=16\div2\)

\(\Rightarrow x^3=8\)

\(\Rightarrow x^3=2^3\)

\(\Rightarrow x=2\)

\(\Rightarrow\frac{x+16}{9}=\frac{2+16}{9}=\frac{18}{9}=2\) (1)

Áp dụng tính chất dãy tỉ số bằng nhau, ta có:

\(\frac{x+16}{9}=\frac{y-25}{16}=\frac{z+9}{25}=\frac{x+16+y-25+z+9}{9+16+25}=\frac{\left(x+y+z\right)+\left(16-25+9\right)}{9+16+25}=\frac{\left(x+y+z\right)+0}{50}=\frac{x+y+z}{50}\) (2)

Từ (1) và (2) \(\Rightarrow\frac{x+y+z}{50}=2\)

\(\Rightarrow x+y+z=2\times50\)

\(\Rightarrow x+y+z=100\)

Vậy giá trị tổng \(x+y+z\) bằng 100.

2+57+41=100