Question

resolva o sistema ( matrizes )

Answer 1

Explicação passo-a-passo:

MATRIZES:

$A = \left[\begin{array}{ccc}2&6\\-4&-2\end{array}\right] \\A = 2 * (-2) - [-4*6]\\A = -4 + 24\\A = 20$

$B = \left[\begin{array}{ccc}-1&10\\-5&6\end{array}\right] \\B = -1 * 6 - [-5 * 10]\\B = -6 + 50\\B = 44$

SISTEMA:

$\left \{ {{3x + y=x+ A - B} \atop {2 (x+y)+A=0}} \right. \\\left \{ {{3x + y -x = 20 - 44} \atop {2x + 2y + 20=0}} \right. \\ \left \{ {{2x+y=-24}* (-1) \atop {2x + 2y = -20}} \right.\\\left \{ {{-2x -y = 24} \atop {2x +2y = -20}} \right. \\y = 4\\\\2x+2y=-20\\2x +2*4 = -20\\2x +8 = -20\\2x = -12\\x = \frac{-12}{2} = -6$