(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
