Question

X=Y + 2 X^2 + Y^2 +XY = 49 Find X, Y

Answer 1

Sub y+2 for x into second equaton

(y+2)^2+y^2+(y+2)y=49
y^2+4y+4+y^2+y^2+2y=49
3y^2+6y+4=49
minus 49 both sides
3y^2+6y-45=0
factor
3(y^2+2y-15)=0
3(y-3)(y+5)=0
set to zero
y-3=0
y=3
y+5=0
y=-5

y=3 and -5

sub back

x=y+2
x=3+2
x=5

x=y+2
x=-5+2
x=-3

the points are
(-3,-5) and (5,3)

Answer 2

X = (7 +  Y) (7 - Y) 

2 + Y