若X方-4x方=-15,x+2y=3,求x、y值.

问题描述:

若X方-4x方=-15,x+2y=3,求x、y值.

X方-4x方=-15①
x+2y=3 ②
①式通过因式分解,(x+2y)(x-2y)=-15③
将②代入到③中,得
X-2y=-5④
②和④联立得
x+2y=3②
X-2y=-5④
②和④两式相加解得x=-1;
②和④两式相减解得y=2