Solve for x
x=-y+2\sqrt{2}
Solve for y
y=-x+2\sqrt{2}
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\sqrt{2}x+\sqrt{2}y=4
Multiply both sides of the equation by 2.
\sqrt{2}x=4-\sqrt{2}y
Subtract \sqrt{2}y from both sides.
\sqrt{2}x=-\sqrt{2}y+4
Reorder the terms.
\frac{\sqrt{2}x}{\sqrt{2}}=\frac{-\sqrt{2}y+4}{\sqrt{2}}
Divide both sides by \sqrt{2}.
x=\frac{-\sqrt{2}y+4}{\sqrt{2}}
Dividing by \sqrt{2} undoes the multiplication by \sqrt{2}.
x=-y+2\sqrt{2}
Divide -\sqrt{2}y+4 by \sqrt{2}.
\sqrt{2}x+\sqrt{2}y=4
Multiply both sides of the equation by 2.
\sqrt{2}y=4-\sqrt{2}x
Subtract \sqrt{2}x from both sides.
\sqrt{2}y=-\sqrt{2}x+4
Reorder the terms.
\frac{\sqrt{2}y}{\sqrt{2}}=\frac{-\sqrt{2}x+4}{\sqrt{2}}
Divide both sides by \sqrt{2}.
y=\frac{-\sqrt{2}x+4}{\sqrt{2}}
Dividing by \sqrt{2} undoes the multiplication by \sqrt{2}.
y=-x+2\sqrt{2}
Divide -\sqrt{2}x+4 by \sqrt{2}.
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