# What are the parametric equations for the line of intersection of the planes #x + y + z = 7# and #x + 5y + 5z = 7#?

and parametric equation of line is

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The parametric equations for the line of intersection of the planes (x + y + z = 7) and (x + 5y + 5z = 7) are:

[x = t] [y = -\frac{4}{3}t + \frac{7}{3}] [z = \frac{4}{3}t + \frac{7}{3}]

where (t) is a parameter.

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