Question

Exercitiul din imagine!

Answer 1

Explicație pas cu pas:

a)

$3x + 2y = 50$

$(x;y) = (14;4)$

$3 \times 14 + 2 \times 4 = 42 + 8 = 50$

b)

$\left \{ {{ {(x - 2)}^{2} + {(y + 4)}^{2} = (x + 2)(x - 2) + {y}^{2} } \atop {3x + 2y = 50}} \right. \\ \left \{ {{ {x}^{2} - 4x + 4 + {y}^{2} + 8y + 16 = {x}^{2} - 4 + {y}^{2}} \atop {3x + 2y = 50}} \right.$

$\left \{ {{ - 4x + 8y = - 24} \atop {3x + 2y = 50}} \right. \\ \left \{ {{ - x + 2y = - 6} \atop {3x + 2y = 50}} \right. \\ \left \{ {{x - 2y = 6} \atop {3x + 2y = 50}} \right.$

$4x = 56 = > x = 14$

$2y = 14 - 6 \\ 2y = 8 = > y = 4$