The questions are in the photos below: I would like them all solved correctly.

Question 8 Consider the following system of equations: Not yet answered xty - 5z =5 Marked out of 2xty - 5z=8 1.00 x+ 2y - 10z = 7 Flag question This system row reduces to the augmented matrix: -5 . . . 5 0 5 -2 0 0 0 0 (a) Find the solution to this system of equations. If you need to use a free parameter, then please use the letter t. X = y = Z= (b) What does your solution mean from a geometrical point of view? (Choose the best option from the list below) The three planes represented by the given equations intersect at a single point The three planes represented by the given equations have no common point of intersection. O The three planes represented by the given equations intersect along a lineQuestion 9 Find the value of k for which the system of equations corresponding to the following augmented matrix has no solutions. Not yet answered 5 : 1 Marked out of 3 k 52 2.00 Flag k = question If k = 20, what is the solution for the system of equations represented by the matrix. X = y =Question 7 Solve the following system of equations using Gaussian elimination and back substitution. Not yet answered X + Marked out of + 2z 11 11 II 1.00 2x + 3 y + 3z 6 Flag question x = y = Z =Question 10 This question has 3 parts and is worth 3 marks. Not yet Let answered Marked out of 3.00 Flag question (a) Which matrix below is row equivalent to A? N - 2 O 0 2 1 O OOOO -NLON O - - N 0 - b 0 (b) How many solutions does Ax = 0 have? ONone Oone OThree OInfinitely many (c) How many solutions does Ax = b have if b = ONone Oone OThree OInfinitely manyQuestion 11 Not yet Let A = answered 4 | and b = \\, where * and p are constants. Marked out of Find k and p so that the system Ax = b has infinitely many solutions. 2.00 k = Flag question p = Describe this solution set for the given linear system geometrically. O A point in 2-space. O A line in 2-space. A line in 3-space O A place in 3-space