方程 (1)*10:
(3x+3y)*5=(3x+2y)*2+20
15x+15y=6x+4y+20
15x+15y-6x-4y=20
9x+11y=20 (3)
方程 (2)*6 :
9(2x+3y)=4(3x+2y)+25
6x+19y=25 (4)
(3)*2,(4)*3 (消去x) :
18x+22y=40 (5)
18x+57y=75 (6)
(6)-(5): 注:-(5)不等于 -18x+22y, 而是 -(18x+22y)=-18x-22y
18x+57y-18x-22y=75-40
35y=35
y=1
y=1代入(3)
(...)
x=1