2(x+y)-(x-3y)=13 4(x+y)+3(x-3y)=1

问题描述:

2(x+y)-(x-3y)=13 4(x+y)+3(x-3y)=1
解方程组 2(x+y)-(x-3y)=13 4(x+y)+3(x-3y)=1

令a=x+y
b=x-3y
2a-b=13 (1)
4a+3b=1 (2)
(1)×3+(2)
6a+4a=39+1
a=4
b=2a-13=-5
所以
x+y=4
x-3y=-5
相减
4y=9
y=9/4
x=4-y=7/4