Hello I need some help with these 5 questions. If you could please show me all your work on a separate sheet of paper with the solutions/answers that would be great!

7. Determine the intersection, if any, of the planes with equations x + y - z + 12 =0 and 2x + 4y - 3z + 8 = 0. 8. Solve the following system of equations and give a geometrical interpretation of the result. X - y+ z=-2 2x - y - 2z = -9 3x + y- z=-2 9. Give a geometrical interpretation of the intersection of the planes with equations xty- 3=0 y+ z+5 =0 x+z+2=0 10. Determine a scalar equation for the plane that passes through the point (3, 1, -1) and is perpendicular to the line of intersection of the planes 2x + y- z + 5 = 0 and x + y + 2z + 7 = 0. 11. Explain why there are an infinite number of vector and parametric equations for a line