x-5y=3
x=5y+3
x²-2xy-y²=-1
(5y+3)²-2(5y+3)y-y²=-1
(25y²+2*5y*3+9)-(10y²+6y)-y²=-1
25y²+30y+9-10y²-6y-y²=-1
14y²+24y+10=0
7y²+12y+5=0
(7y+5)(y+1)=0
y = -1 или y = -5/7
x= -2 или х =5*( -5/7) + 3 = -25/7 + 3 = - 4/7
x-5y=3
x=5y+3
x²-2xy-y²=-1
(5y+3)²-2(5y+3)y-y²=-1
(25y²+2*5y*3+9)-(10y²+6y)-y²=-1
25y²+30y+9-10y²-6y-y²=-1
14y²+24y+10=0
7y²+12y+5=0
(7y+5)(y+1)=0
y = -1 или y = -5/7
x=5y+3
x= -2 или х =5*( -5/7) + 3 = -25/7 + 3 = - 4/7