congratulations @Goodness Barak please check your wallet

@Goodness Barak, thank you.
You got it right.

Making y the subject in equation 1
y=1-2x...(equation 3)
Substitute in equation 2
-4+4(1-2x)²=-x²
Expanding...
-4+4-16x+16x²=-x²
16x²+x²-16x=0
17x²-16x=0
Using quadratic formula
x=16/17
For y substitute in equation 3
y=1-2(16/17)
y=-15/17

x=16/17
y=-15/17