已知:x+y+z=0,5x-3y-z=0,求:5x-y+z/2x+8y+7z 的值
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已知:x+y+z=0,5x-3y-z=0,求:5x-y+z/2x+8y+7z的值已知:x+y+z=0,5x-3y-z=0,求:5x-y+z/2x+8y+7z的值已知:x+y+z=0,5x-3y-z=0
已知:x+y+z=0,5x-3y-z=0,求:5x-y+z/2x+8y+7z 的值
已知:x+y+z=0,5x-3y-z=0,求:5x-y+z/2x+8y+7z 的值
已知:x+y+z=0,5x-3y-z=0,求:5x-y+z/2x+8y+7z 的值
x+y+z=0,.(1)
5x-3y-z=0.(2)
(1)+(2),得
6x-2y=0
2y=6x
y=3x
代入(1),得
x+3x+z=0
z=-4x
所以
5x-y+z/2x+8y+7z
=(5x-3x-4x)/(2x+24x-28x)
=(-2x)/(-2x)
=1
x+y+z=0,5x-3y-z=0
把x,y看作未知数,把z看作常数.
解二元一次方程组得:
x=-z/4 ,y=-3z/4
将x,y代入:(5x-y+z)/(2x+8y+7z)得:
(5x-y+z)/(2x+8y+7z)
=(-5z/4+3z/4+z)/(-z/2-6z+7z)
=(1/2) / (1/2)
=1
x+y+z=0(1)
5x-3y-z=0(2)
令(1)+(2)得y=3x
把y=3x代入(1)得z=-4x
代入求解式 得5x-3x+(-4x)/2x+8*3x+7*(-4x)=-2-2x
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