{2x+5y=13z+1000 {3x+3z=9y {6y+8z+600=5x
问题描述:
{2x+5y=13z+1000 {3x+3z=9y {6y+8z+600=5x
{2x+5y=13z+1000
{3x+3z=9y
{6y+8z+600=5x
答
①2x+5y-13z=1000
②3x-9y+3z=0
③5x-6y-8z=600
将②除以3得:④x-3y+z=0
①-2×④得:⑤11y-15z=1000
③-5×④得:⑥9y-13z=600
9×⑤-11×⑥得:8z=2400,即⑦z=300
将⑦代入⑥得:⑧y=500
将⑦⑧代入④得:x=1200