Question

Determina numerele rationale pozitive x,y,z care sunt direct proportionale cu numerele 2,3 si 5, iar x + 3y-2z =4

Answer 1

x/2 = y/3 = z/5 = k

x = 2k

y = 3k

z = 5k

2k + 3×3k - 2×5k = 4

2k + 9k - 10k = 4

11k - 10k = 4

k = 4

x = 2k = 8

y = 3k = 12

z = 5k = 20