Question

解三元一次方程组 {3x-5y+6Z=4, 3x-2y+2Z=3, -3x-3y+5z=-1

Answer 1

3x-5y+6z=4 (1)

3x-2y+2z=3 (2)

-3x-3y+5z=-1 (3)

(1)-(2)

-3y+4z = 1 (4)

(2)+(3)

-5y+7z=2 (5)

5(4)-3(5)

z = 1

from (4) y=1

from (1)

3x-5+6=4

x= 1

ie

x=y=z=1