Question

Daca x/y = 2/3 şi x^2+y^2 =117;Determinați x şi y



Va rog Help!!

Answer 1

$\frac{x}{y} = \frac{2}{3} = > 3x = 2y$

${x}^{2} + {y}^{2} = 117$

$2 {x}^{2} + 2 {y}^{2} = 234$

$2 {x}^{2} + 3 {x}^{2} = 234$

$5 {x}^{2} = 234$

${x}^{2} = \frac{234}{5}$

$x = \sqrt{ \frac{234}{5} }$

$3x = 3 \sqrt{ \frac{234}{5} }$

$= > 2y = 3 \sqrt{ \frac{234}{5} }$

$= > y = \frac{3 \sqrt{ \frac{234}{5} } }{2}$