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

Answer 1

Do you mean the point of intersection?

Answer 2

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.