小方把(1)抄错,求得的解为x=-1 y=3.说明x=-1 y=3是方程(2)的解.
小刚把(2)抄错,求得的解为x=3 y=2, 说明x=3 y=2是方程(1)的解.
分别代入两个方程,得到关于a,b的方程组:
3a +2b =16.(m)
3a -b =1 .(n)
m-n:
3b =15
b =5
代入(n)式
3a -5 =1
a =2
所以,原方程组为:
2x +5y =16...(1)
5x +2y =1.(2)
(1)+(2)
7x +7y =17
x +y =17/7...(3)
将(3)代入(1)
2x +5y =2(x+y) +3y =16
2*17/7 +3y =16
3y =78/7
y =26/7
将结果代入(3)
x +26/7 =17/7
x = -9/7
所以,原方程组的解为:x = -9/7,y = 26/7.