两元一次方程 2x/3+3y/4=1/5 5x/6-5y/2=2 怎样解

问题描述:

两元一次方程 2x/3+3y/4=1/5 5x/6-5y/2=2 怎样解

2x/3+3y/4=1/5 5x/6-5y/2=2 化简8x+9y=12/5(1) 5x-15y=12(2) 把(3)×5+(4)×3得 40x+45y=12 (3) 15x-45y=36 (4) 把(3)+(4)得 40x+45y+15x-45y=12+36 x=48/55 把x=48/55代入(3)中 y=28/55

2x/3+3y/4=1/5⑴
5x/6-5y/2=2⑵
由⑴乘以5/4减⑵得:
55y/16=-7/4
∴y=-28/55
x=48/55

2x/3+3y/4=1/5 => 40x+45y=12 (1)
5x/6-5y/2=2 => 15x-45y=36 (2)
(1)+(2) => 55x=48 =>
x=48/55 带入 2x/3+3y/4=1/5 解得 y=-28/55
su x=48/55 y=-28/55

先通分 得40x+45y=12 5x-15y=12 再解方程组xy