Question

Ache a solução geral do sistema escalonado.
x-2y-3z+5s-2t=4
2z-6s+3t=2
5t=10

Answer 1

5.t = 10 => t = 10/5 => t = 2

2.z - 6.s + 3.t = 2
2.z - 6.s + 3.2 = 2
2.z - 6.s + 6 = 2
2.z - 6.s = 2 - 6
2.z = 6.s - 4
z = 2.(3.s - 2)/2
z = 3.s - 2

x - 2.y - 3.z + 5.s - 2.t = 4
x - 2.y - 3.(3.s - 2) + 5.s - 2.2 = 4
x - 2.y - 9.s + 6 + 5.s - 4 = 4
x - 2.y - 4.s + 2 = 4
x - 2.y - 4.s = 4 - 2
x - 2.y - 4.s = 2
x = 2.y + 4.s + 2
x = 2.(y + s + 1)

PRONTO.