Question

Determine a solução geral do sistema { 2x = 4y + 2z = 4
y -3z =1 e marque a alternativa que a contem

Answer 1

$\left \{ {{2x=4y+2z=4} \atop {y-3z=1}} \right. \ \left \{ {{x=2y+z=2} \atop {y-3z=1}} \right. \\ \\ Logo, \ x=2. \\ \\ \left \{ {{2y+z=2} \atop {y-3z=1}} \right. \ \left \{ {{2y+z=2} \atop {y=1+3z}} \right. \\ \\ 2y+z=2 \\ 2(1+3z)+z=2 \\ 2+6z+z=2 \\ 7z=0 \ \ | \ \ z=0 \\ \\ 2y+z=2 \\ 2y+0=2 \\ 2y=2 \ \ | \ \ y=1 \\ \\ Portanto: \\ x=2; \ y=1; \ z=0$