SOLUTION: Find the point at which the line intersects the given plane. Line: 5x= y/2= z+2. Plane: 10x-7y+3z+24=0

Question 1049400: Find the point at which the line intersects the given plane.
Line: 5x= y/2= z+2.
Plane: 10x-7y+3z+24=0
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
At that point,
<---> ,
<---> , and
.
That is a system of linear equations.
You can easily solve it by substitution.
Substituting for , and for in the long equation, you get

.
Then , so , and
, so , and .
You can say that the point where the line crosses the plane is (2/5,4,0) .
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