a straight line divides the ellipse into two parts, find the distance between the centers of mass of its parts

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$3x+3y-9=0$ divides the ellipse $\frac{x^2}{25}+\frac{y^2}{4} = 1$ into two parts. Find the distance between the centers of mass of its parts I realized that I need to make several double integrals, and then calculate the Euclidean distance, but I don’t understand how to make these double integrals