Solve for x
x=-\frac{\sqrt{2}\left(1-y\right)}{2}
Solve for y
y=\sqrt{2}x+1
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\sqrt{2}x+1=y
Swap sides so that all variable terms are on the left hand side.
\sqrt{2}x=y-1
Subtract 1 from both sides.
\frac{\sqrt{2}x}{\sqrt{2}}=\frac{y-1}{\sqrt{2}}
Divide both sides by \sqrt{2}.
x=\frac{y-1}{\sqrt{2}}
Dividing by \sqrt{2} undoes the multiplication by \sqrt{2}.
x=\frac{\sqrt{2}\left(y-1\right)}{2}
Divide y-1 by \sqrt{2}.
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