Question

Se cere rezultatul calculului
3x+2y / 4x+3y=14/19

/-supra

Answer 1

(3x+2y)/(4x+3y) = 14/19

Se impart atat numaratorul, cat si numitorul, prin y:

[(3x+2y)/y] / [(4x+3y)/y] = 14/19

(3x/y + 2y/y) / (4x/y + 3y/y) = 14/19

Notam x/y = z

(3z + 2)/(4z + 3) = 14/19

3z + 2 = 14/19 * (4z+ 3)

3z + 2 = 14(4z+3)/19

19(3z+2) = 14(4z+3)

57z + 38 = 56z + 42

57z - 56z = 42 - 38

z = 4, adica x/y = 4