The number of girls(x) is 4 more than the number of boys(y) and x + y =10 then:

x-y=4

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-x-y=-4

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x+y=-4

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x-y=-4

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Solution

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y = x^{2}

y = - x^{2} + 4 x - 4

x^{4} - 4 x^{2} y^{2} + y^{4}

x^{4} + 8 x^{2} y^{2} + y^{4}

x^{2} + y^{2} = 4

x^{2} + y^{2} - 4 x + 2 y - 4 = 0

(x, y)

x^{2} - x y + y^{2} = 4 (x + y - 4)

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