Question

a plane flies to new york to london at 565 mph with a tailwind. the same plane flies back to new york with 515 mph against the same wind. create a system of equations to show how to find plane speed [PS] and wind speed [WS] do not solve

Answer 1

When a plane flies with a tailwind, the speed of the wind gets added to the plane speed

When a plane flies against a tailwind, the wind speed gets subtracted from the plane speed to get the overall speed.

So you can create one equation setting total speed = plane + wind and the other equation for total speed = plane - wind, substituting the appropriate numbers and variables from the problem.