Question

解方程组(x+y)/4-(2x-y)/3=-1 ① 6(x+y)-4(2x-y)=16 ②

Answer 1

(x+y)/4-(2x-y)/3=-1 ------------------------(1)
6(x+y)-4(2x-y)=16 ------------------------(2)
转换设x+y=A, 2x-y=B, 则转换后的是扮基：慎缺兄
A/4-B/宽袭3=-1 ----------------------------(3)
6A-4B=16 ----------------------------(4)
(3)*12 得： 3A-4B=-12 --------------(5)
(4)-(5) 得： 3A=28; A=28/3
(4)-2*(5) 得： 4B=40, B=10
则： x+y=28/3 ------------------------------(6)
2x-y=10 ------------------------------(7)
(6)+(7) 得： 3x=58/3, x=58/9
y=2x-10=26/9
x=58/9, y= 26/9