Determine the line of intersection of each system of equations. help would be greatly appreciated :D
a.) 2x + y + z = 7
4x +3y - 3z = 13
4x _2y +2z = 14

Question

Determine the line of intersection of each system of equations. help would be greatly appreciated :D 
a.) 2x + y +  z = 7
     4x +3y - 3z = 13
     4x _2y +2z = 14

mertsj · Answer

Do you mean the point of intersection?

hero · Answer

No, line of intersection:

1.)    2x + y  +  z = 7
2.)    4x +3y - 3z = 13
3.)    4x - 2y +2z = 14

Subtract Equation 3 from Equation 2 to get the line. 
Then subtract Equation 1 from Equation 2 to verify.

You want to eliminate x variable in both subtractions.