{x-2y=6,kx-(k-1)y=5的解x与y互为相反数,求k的值

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{x-2y=6,kx-(k-1)y=5的解x与y互为相反数,求k的值{x-2y=6,kx-(k-1)y=5的解x与y互为相反数,求k的值{x-2y=6,kx-(k-1)y=5的解x与y互为相反数,求k

{x-2y=6,kx-(k-1)y=5的解x与y互为相反数,求k的值
{x-2y=6,kx-(k-1)y=5的解x与y互为相反数,求k的值

{x-2y=6,kx-(k-1)y=5的解x与y互为相反数,求k的值
由x与y互为相反数,得x=-y代入x-2y=6
即-y-2y=6 解得y=-2
x=-y=-(-2)=2
把x=2代入kx-(k-1)=5,得2k-k+1=5 解得k=4

x - 2y = 6 => x + 2x = 6 => x=2 => y = -2;
带入得:
2k +2k -2 = 5 => 4k = 7 => k= 7/4

X=-Y
所以 x+2x=6
3x=6
x=2
kx-(k-1)x=5
整理2kx-x=5
将x=2代入 4k-2=5
4k=7
k=7/4