若x-y=2,x²-y²=10,则3x-y=
问题描述:
若x-y=2,x²-y²=10,则3x-y=
答
解
x²-y²=10
(x-y)(x+y)=10
∵x-y=2 ①
2(x+y)=10
∴x+y=5 ②
①×2+②得:3x-y=9