{2x+5y=13z+1000 {3x+3z=9y {6y+8z=5x-6000 要详细过程,帮我解方程{2x+5y=13z+1000{3x+3z=9y{6y+8z=5x-6000要详细过程，帮我解方程
问题描述：
{2x+5y=13z+1000 {3x+3z=9y {6y+8z=5x-6000 要详细过程,帮我解方程
{2x+5y=13z+1000
{3x+3z=9y
{6y+8z=5x-6000
要详细过程，帮我解方程
答
2x+5y=13z+1000 (1)
3x+3z=9y (2)
6y+8z=5x-6000 (3)
(2) x+z=3y (4)
(4)代入 (3)
2x + 2z + 8z = 5x -6000
3x = 10z + 6000 (5)
(4)代入 (1)*3
6x + 15y = 39z + 3000
6x + 5x + 5z = 39z +3000
11x = 34z + 3000 (6)
(5)*11 - (6)*3
33x - 33x = 110z +66000 - 102z - 9000
解得 z=-7125
代入 (5) 解得 x= 21750
把x,z的值代入(4)解得 y=4875
答
①2x+5y-13z=1000②3x-9y+3z=0③5x-6y-8z=6000将②式除以3得：④x-3y+z=0①-2×④得：⑤11y-15z=1000③-5×④得：⑥9y-13z=60009×⑤-11×⑥得：8z=-57000,即⑦z=-7125将⑦代入⑥得：⑧y=-9625将⑦⑧代入④得：x=-21...