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x+y=\sqrt{5} x+y=-\sqrt{5}
Take the square root of both sides of the equation.
x+y-y=\sqrt{5}-y x+y-y=-\sqrt{5}-y
Subtract y from both sides of the equation.
x=\sqrt{5}-y x=-\sqrt{5}-y
Subtracting y from itself leaves 0.
x=-y+\sqrt{5}
Subtract y from \sqrt{5}.
x=-y-\sqrt{5}
Subtract y from -\sqrt{5}.
x=-y+\sqrt{5} x=-y-\sqrt{5}
The equation is now solved.
y+x=\sqrt{5} y+x=-\sqrt{5}
Take the square root of both sides of the equation.
y+x-x=\sqrt{5}-x y+x-x=-\sqrt{5}-x
Subtract x from both sides of the equation.
y=\sqrt{5}-x y=-\sqrt{5}-x
Subtracting x from itself leaves 0.
y=-x+\sqrt{5}
Subtract x from \sqrt{5}.
y=-x-\sqrt{5}
Subtract x from -\sqrt{5}.
y=-x+\sqrt{5} y=-x-\sqrt{5}
The equation is now solved.