(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The plane that passes through the point

(−3, 2, 1)

and contains the line of intersection of the planes

x + y − z = 3 and 4x − y + 5z = 5

2. Relevant equations

3. The attempt at a solution

So I plugged the planes into a matrix and found the line of intersection with one parameter. I took the coefficients as the direction vector of the line. Plugging that into an equation of the plane, I get the following:

(5/6)X-(19/5)Y+(56/5)Z

but it says I'm wrong. I only have 1 attempt left at the right solution.. Please help! Thanks in advance!

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# Find equation of plane

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