1)x^2+2xy=3 x-y=7 2) 2x-3=y 2y+x=-1 3)3x-5y=6 2x+3y=7

Question

1)x^2+2xy=3
x-y=7
2) 2x-3=y
2y+x=-1
3)3x-5y=6
2x+3y=7

Answer 1

1) x=7+y
(7+y)^2+2(7+y)y=3
49+14y+y^2+14y+2y^2=3
3y^2+28y+46=0
D=232
y=(-28+-2sqrt(58))/6
x1=7+(-28+2sqrt(58))/6
x2=7+(-28-2sqrt(58))/6
2) 2(2x-3)+x=-1
5x=5
x=1
y=2-1=-1
3) x=3,5-1,5y
3(3,5-1,5y)-5y=6
10,5-4,5y-5y=6
-9,5y=-4,5
y=45/95=9/19
x=3,5-9/19*15/10=3,5-27/38=53/19