book Maths Puzzle Numerical Ability

Thank you for your help! If two planes leave an airport at 1:00pm, how far in distance will they be at 3:00pm if one plane drove directly North 150mph and the other drove directly west 200mph?

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Solve the following nonlinear system for x and y. Sketch a graph, showing the intersection points.

x + y = 7

and

x^2 + y^2 = 25

I am having trouble simplifying. I know it sounds silly but I have never seen this one or dont remember it. I thought that expanding the problem and elimination would be the answe