2x = 3y = 10z - 2x
⇒ 4x = 6y = 10z - 2x + 2x
⇒ 4x = 6y = 10z
Chia tất cả cho BCNN ( 4 ; 6 ; 10 )
⇒ $\frac{x}{15}$ = $\frac{y}{10}$ = $\frac{z}{6}$
Theo TCDTSBN : $\frac{x}{15}$ = $\frac{y}{10}$ = $\frac{z}{6}$ = $\frac{x-y+z}{15-10+6}$ = $\frac{-33}{11}$ = -3
$\frac{x}{15}$ = -3 ⇒ x= -45
$\frac{y}{10}$ = -3 ⇒ y = -30
$\frac{z}{6}$ = -3 ⇒ z = -18