Please write out the answers and explanation for questions 1, 2, 3, and 4 please

1. Solve the following linear systems. a. [x, y] = [1, 6] + s[3, -2] b. [x, y] = [-12, -7] + s[8, -5] [x, y] = [4, 4] + t[-6, 4] [x, y] = [2, -1] + t[3, -2] C. [x, y] = [16, 1] + s[5, 1] d. [x, y] = [11, 12] + s[2, 7] [x, y] = [-7, 12] + t[-7, 3] [x, y] = [2, 3] + t[1, 4] 2. Find the intersection of the line [x, y, z] = [2, 1, 0] + s[-1, 1, 3] and the plane 3x - 2y + z = 10. 3. Find the intersection of the line [x, y, z] = [1, -2, -1] + s[2, 3,14] and the plane x + 2y - 2z = 5. 4. Write the equations of a line and a plane that intersect at the point (3, -8, 6)