(1)m,n為何值時(shí),-2x的2m-n y 的n+2是同類項(xiàng)?(2)以知-x的m+n-3 +1/2y的m-n-1=4是關(guān)于x,y的二元一次方程?

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(1) m,n為何值時(shí),-2x^(2m-n), y^(n+2)是同類項(xiàng)?(2) m,n為何值時(shí),-x^(m+n-3) +(1/2)y^(m-n-1)=4是關(guān)于x,y的二元一次方程解: (1)底和指數(shù)都相等的是同類項(xiàng),所以當(dāng)x=y,且2m-n=n+2 時(shí)才是同類項(xiàng)即x=y,且m=n+1時(shí)兩者是同類項(xiàng)(2)以知-x^(m+n-3) +(1/2)y^(m-n-1)=4是關(guān)于x,y的二元一次方程所以m+n-3=2m-n-1=2解得m=4,n=1即m=4,n=1時(shí),-x^(m+n-3) +(1/2)y^(m-n-1)=4是關(guān)于x,y的二元一次方程該方程為-x^2 +(1/2)y^2=4