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y=4-2x
2x²-xy-y²=20
2x²-x(4-2x)-(4-2x)²=20
2x²-4x+2x²-(16-8x+4x²)=20
2x²-4x+2x²-16+8x-4x²=20
4x-16=20
4x=20+16
x=9
y=4-2x
y= 4-2(9)
y=-14
HP{(9,-14)}