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## Homework Statement

Find the coordinates of the symmetric point of the point M(3,4,7) from the plane 2x-y+z+9=0

## Homework Equations

## The Attempt at a Solution

I found the equation of the plane which the symmetric point is staying at:

2x-y-z+27=0

Also I found the distance between M(3,4,7) and the symmetric point:

[tex]\sqrt{(x-3)^2+(y-4)^2+(z-7)^2}=2*3*\sqrt{6}[/tex]

I need one more condition to solve the system.

The coordinate from my text book results which I need to find is: [tex]M_s(-9,10,1)[/tex]