{3(X-1)=Y+5 5(Y-1)=3(X+5)用代入消元法

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{3(X-1)=Y+55(Y-1)=3(X+5)用代入消元法{3(X-1)=Y+55(Y-1)=3(X+5)用代入消元法{3(X-1)=Y+55(Y-1)=3(X+5)用代入消元法{3(X-1)=Y+

{3(X-1)=Y+5 5(Y-1)=3(X+5)用代入消元法
{3(X-1)=Y+5 5(Y-1)=3(X+5)用代入消元法

{3(X-1)=Y+5 5(Y-1)=3(X+5)用代入消元法
{3(X-1)=Y+5 (1)
5(Y-1)=3(X+5) (2)
由(1)
Y=3(X-1)-5
Y=3X-8 (3)
(3)代入(2)
5(3X-8-1)=3(X+5)
15X-45=3X+15
12X=60
X=5
把X=5代入(3)解得
Y=7
方程组的解为
{X=5
Y=7
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3(x-1)=Y+5 (1)
5(y-1)=3(x+5) (2)
由(1)
Y=3X-8
代入(2)
15X-40-5=3X+15
12X=60
所以
X=5
Y=3X-8=7

3(x-1)=y+5
3x-8=y
5(y-1)=3(x+5)
5(3x-8-1)=3(x+5) 5(3x-9)=3(x+5)
5x-15=x+5
4x=20
x=5
y=3x-8
y=7