exam Maths Puzzle Numerical Ability

3/y=y/(5y-12)

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in need of help with solving this system: {x^2-100y^2=100
{x^2+ y^2=100
thanks for the help.
Science and Nutrition. A passenger train can travel 325 mi in the same time a freight train takes to travel 200 mi. If the speed of the passenger train is 25 mi faster than the speed of the freight train, find the speed of each.