┌4(4+y)=x(10-x)│2x=4y└(10-x)y=2(4+y)

Question

┌ 4(4+y)=x(10-x)
│ 2x=4y
└ (10-x)y=2(4+y)

Answer 1

4(4+y)=x(10-x)
2x=4y
(10-x)y=2(4+y)
整理后得方程组:
16+4y-10x+x^2=0 (1)
x=2y (2)
10y-xy-8-2y=0 (3)
(2)代入(1)得:
4y^2-16y+16=0
y^2-4y+4=0
(y-2)^2=0
y=2
解方程组得:
x=4
y=2