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­Y¤èµ{¦¡(m-2)x+3=nx+(2m-7)
¤§¸Ñ¬°¥ô·N¼Æ¡A«hm=? n=?

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¤]´N¬O(m-2)x+3=nx+(2m-7)¤¤
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m-2=n
3=2m-7

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2m=10
m=5
n=m-2=5-2=3

m=5
n=3

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m-2=n
3=2m-7
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:(xm-2x)+3=nx+2m-7
:xm-2x=nx+2m-10
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§âx´£¥X--x(m-n-2)=2m-3-7
¦]m-n-2=0
©Ò¥H2m-10=0
m=5
5-n-2=0
n=3

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x¥Î5¥N¤J
5m-10+3=5n+2m-7
3m-5n=0
x¥Î6¥N¤J
6m-12+3=6n+2m-7
4m-6n=2
3m-5n=0»P4m-6n=2Áp¥ß
±o2m=10
«hm=5 ¥N¤J
n=3

¸g¹L²¾¶µ«á
x=(2m-10)/(m-n-2)
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so x=0/0
2m-10=0
m-n-2=0

so m=5
n=3

_________________
The art of doing mathematics consists in finding that special case which contains all the germs of generality

m-2=n
2m-7=3
m=5 n=3