1.x-y=5x+z=-7y-z=-82.3x+2y+5z=2x-2y-z=64x+2y-7z=303.2x+y=33x

4个回答

  • 1.x-y=5(1)

    x+z=-7(2)

    y-z=-8(3)

    (2)式+(3)式得:x+y=-15(4)

    (1)式+(4)式得:2X=-10解得x=-5

    y=-10

    z=-2

    2.3x+2y+5z=2(1)

    x-2y-z=6(2)

    4x+2y-7z=30(3)

    (1)式+(2)式得:4X+4Z=8(5)

    (2)式+(3)式得:5X-8Z=36(6)

    2(5)式+(6)式得:13X=52解得x=4

    z=-2

    y=0

    3.2x+y=3(1)

    3x-y+z=8(2)

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

    3(2)式-(3)式得:8X-5Y=21(4)

    5(1)式+(4)式得:18X=36

    解得X=2

    Y=-1

    z=1

    4.x+y=13(1)

    y+z=11(2)

    z+x=12(3)

    (2)式-(3)式得:y-X=-1(4)

    (1)式+(4)式得:2y=12

    解得y=6

    x=7

    Z=5

    5.5x-3y+z=2(1)

    5x+2y-4z=3(2)

    -5x+y-z=2(3)

    (1)式+(3)式得:-2y=4

    y=-2

    z=-11/5

    X=-9/25

    6.x+y=-2(1)

    x+z=13(2)

    y+z=1(3)

    (1)式-(2)式得:y-Z=-15(4)

    (4)式+(3)式得:2y=-14

    解得y=-7

    z=8

    X=5

    7.x-y-z=-1(1)

    3x+5y+7z=11(2)

    4x-y+2z=-1(3)

    3(1)式-(2)式得:-8y-10Z=-14即4y+5Z=7(4)

    4(1)式-(3)式得:-3y-6Z=-3即y+2Z=1(5)

    (4)式-4(5)式得:-3Z=3

    解得z=-1

    y=3

    x=1

    8.2x+3y-z=11(1)

    2x+y=7z(2)

    2y-3z=0(3)

    (1)式-(2)式得:2y+6z=11(4)

    (4)式-(3)式得:9Z=11

    解得z=11/9

    y=11/6

    x=121/18