A 19 k g sphere is at the origin and a 11 k g sphere is at ( x , y ) = ( 18 c m

Question

A 19kg sphere is at the origin and a 11kg sphere is at (x,y)=( 18cm , 0 cm) At what point or points could you place a small mass such that the net gravitational force on it due to the spheres is zero? Express your answer as a comma-separated pair of components.
I know you would set the problem up to equal eachother. (newton's second law). What would this look like with variables? A 19kg sphere is at the origin and a 11kg sphere is at (x,y)=( 18cm , 0 cm) At what point or points could you place a small mass such that the net gravitational force on it due to the spheres is zero? Express your answer as a comma-separated pair of components.
I know you would set the problem up to equal eachother. (newton's second law). What would this look like with variables?

Explanation / Answer

Since the 11kg is 0cm in y direction it makes it quite a bit easier... As the 19kg sphere is larger than the 11kg sphere you would expect the equidistant point to be at the centre... So now you have an idea of the distance about 12-13cm...

Start by placing the small mass (lets call it

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