Question

a) Fie x , y apartine Q astfel incat 3x-2y-7 supra 7 = 2y-x-3 supra 3 . Calculati x supra y
b) Determinati numerele ba , daca a supra 2,4 = b supra 4

Answer 1

a)
$\frac{3x - 2y - 7}{7} = \frac{2y - x - 3}{3}$

$9x - 6y - 21 = 14y - 7x - 21$

$9x - 6y = 14y - 7x$

$16x - 6y = 14y$

$16x = 20y$

$\frac{x}{y} = \frac{20}{16}$

b)
$\frac{a}{2.4} = \frac{b}{4}$

$4a = 2.4b$

$4a = \frac{24b}{10}$

$40a = 24b$

$10a = 6b$

$5a = 3b$

=> a=3 b=5

ba=53