Question

равносильны ли системы уравнений: {3x-y+2=0, -x+y-3=0 {3x-y+2=0, 2x-1=0

Answer 1

Да,они равносильны т.к.

1.{3x-y+2=0, {-x+y-3=0=> 3x-(3+x)+2=0=>

                                        y=3+x

=>2x-1=0                   

x=1/2  y=7/2

2. 3x-y+2=0, 2x-1=0=> x=1/2=> 3*(1/2)-y +2= 0

                                                y=7/2