No, not if the y is squared. When graphed the equation will not form a straight line.
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It is a linear equation in the variable a.
It is a linear equation in x. It has a solution, which is x = -5
An equation
5r = 25 is a linear equation in one variable, r. The solution is r = 5.
You were going along pretty good until you hit the words "to the second power". Right there, you no longer have a 'linear' equation. The question looks like you're trying to say one of the following two equations: Either x + y2 = 25 or (x + y)2 = 25. Neither is a linear equation. Each is the equation of a parabola.