Question

4分之y+1=3分之x+2,2x-3y=1

Answer 1

(y+1)/4 = (x+2)/3 ......(1)
2x-3y = 1 ......(2)
由（2）得：
y=(2x-1)/3......(3)
将（3）代入（1）得：
{2(x-1)/3+1)/4 = (x+2)/3
3{2(x-1)/3+1) = 4(x+2)
2(x-1) +3 = 4x+8
2x-2+3 = 4x+8
2x=-7
x=-7/2
将x=-7/2代回（3）得：
y=(2x-1)/3 = (-7-1)/3 = -8/3
所以，原方程组的解为{x=-7/2，y=-8/3
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Answer 2

(y+1)/4 = (x+2)/3 ......(1)
2x-3y = 1 ......(2)
由（2）得：
y=(2x-1)/3......(3)
将（3）代入（1）得：
{2(x-1)/3+1)/4 = (x+2)/3
3{2(x-1)/3+1) = 4(x+2)
2(x-1) +3 = 4x+8
2x-2+3 = 4x+8
2x=-7
x=-7/2
将x=-7/2代回（3）得：
y=(2x-1)/3 = (-7-1)/3 = -8/3