第一个:(X+7)(Y-6)=XY ①
(X-6)(Y-6)=XY-91 ②
由①式得:XY+7Y-42-6X=XY --> 7Y-6X=42 --> -6X=42-7Y ③
由②式得:XY-6X-6Y+36=XY-91 --> 42-7Y-6Y=-127 --> -13Y=-169
--> Y=13 ④
将④式代入③式得:-6X=42-7*13 --> -6X=-49 --> X=49/6
经解得:X=49/6
Y=13
第二个:2(X/3+1)=Y-32 ①
(X/2.5+1)=Y+77 ②
由①式得:(2/3)X+2=Y-32 --> 2X+6 3Y-96 --> 2X=3Y-102
--> 10X=15Y-510 ③
由②式得:(5/2)X=Y+76 --> 5X=2Y+152 --> 10X=4Y+304 ④
将④式代入③式得:15Y-510=4Y+304 --> 11Y=514 --> Y=74 ⑤
将⑤式代入③式得:10X=15*74-510 --> 10X=600 --> X=60
经解得:X=60
Y=74