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The equation of a plane passing through the line of intersection of the planes $$x + 2y + 3z = 2$$ and $$x - y + z = 3$$ and at a distance $$\frac{2}{\sqrt{3}}$$ from the point (3, 1, -1) is
5x - 11y + z = 17
$$\sqrt{2} x + y = 3\sqrt{2} -1$$
$$x + y + z = \sqrt{3}$$
$$x - \sqrt{2} y = 1 - \sqrt{2}$$
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