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Find the equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y + 4z = 5

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Find the equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y + 4z = 5 and twice of its y-intercept is equal to three times its z-intercept.

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x + y + z = 1 

2x + 3y + 4z = 5 

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