Solve for x
x=\frac{\sqrt{2}y}{2}
Solve for y
y=\sqrt{2}x
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\sqrt{2}x=y
The equation is in standard form.
\frac{\sqrt{2}x}{\sqrt{2}}=\frac{y}{\sqrt{2}}
Divide both sides by \sqrt{2}.
x=\frac{y}{\sqrt{2}}
Dividing by \sqrt{2} undoes the multiplication by \sqrt{2}.
x=\frac{\sqrt{2}y}{2}
Divide y by \sqrt{2}.
y=\sqrt{2}x
Swap sides so that all variable terms are on the left hand side.
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