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Răspuns:

x = 80  ; y = 96  ; z = 160

Explicație pas cu pas:

x/5 = y/6 = z/10   => 6x = 5y => x = 5y/6

                                6z = 10y => z = 10y/6

2x + 3y -2z = 128

2·5y/6 + 3y - 2·10y/6 = 128  <=>

5y/3 + ³⁾3y - 10y/3 = ³⁾128  <=>

5y + 9y - 10y = 384  =>

4y = 384  => y = 384:4  => y = 96

x = 5·96/6 = 5·16 => x = 80

z = 10·96/6 = 10·16 => z = 160

2x+3y-2z=128

x/5=y/6=z/10

x=5k

y=6k

z=10k

2×5k+3×6k-2×10k=128

10k+18k-20k=128

28k-20k=128

8k=128

k=128:8

k=16

x=5×16

x=80

y=6×16

y=96

z=10×16

z=160