已知:2x-3y=1,试求代数式:(2x²+4x-3y)+2(-x²+x-3y)-17的值

问题描述:

已知:2x-3y=1,试求代数式:(2x²+4x-3y)+2(-x²+x-3y)-17的值

(2x²+4x-3y)+2(-x²+x-3y)-17=2x^2+4x-3y-2x^2+2x-6y-17=6x-9y-17=3(2x-3y)-17,将2x-3y=1代入上式,结果为-14


(2x²+4x-3y)+2(-x²+x-3y)-17
=(2x²-2x²)+(4x+2x)+(-3y-6y)-17
=6x-9y-17
=3(2x-3y)-17
=3×1-17
=3-17
=-14