Question

Encontre as soluções dos seguintes sistemas escalonados.
2x - 2y + 4z = 14 y
1/2 y -2z =8​

Answer 1

$2x-2y+4z=14y\\\\x-2y+4z-\left(-2y+4z\right)=14y-\left(-2y+4z\right)\\\\2x=16y-4z\\\\\frac{2x}{2}=\frac{16y}{2}-\frac{4z}{2}\\\\x=2\left(4y-z\right)$

$\frac{1}{2}y-2z=8\\\\\frac{1}{2}y-2z+2z=8+2z\\\\\frac{1}{2}y=8+2z\\\\2\cdot \frac{1}{2}y=2\cdot \:8+2\cdot \:2z\\\\y=16+4z$