关于xy的方程组2x+3y=8,mx+ny=10与nx-my=0,3x-2y=-1的解相同,求n的m次方-m的平方
关于xy的方程组{2x+3y=8,与{nx-my=0,的解相同,求n的m次方-m的平方 1 {mx+ny=10 {3x-2y=-1
人气:148 ℃ 时间:2020-04-10 23:26:12
解答
2x+3y=8①
3x-2y=-1②
①×2+②×3
4x+9x=16-3
13x=13
x=1
∴y=(8-2)÷3=2
∴m+2n=10③
n-2m=0④
①×2+②
4n+n=20
n=4
∴m=2
∴n^m-m²=4²-2²=16-4=12
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