for this question, I need help with the final part, which is finding the point (

Question

for this question, I need help with the final part, which is finding the point (x,y,z)?

Consider the system of linear equations: x - z = 2 5x + y = 1 -x + y + 3z = 4 a. Assume that one is using Gaussian elimination to solve the problem. In order to make the coefficient of X in the second equation zero, one should use the row combination a rho_j + rho_k where a = j = 1 and k = 2. b. In the next step of the row reduction, one should make the coefficient of x in the third equation equal to zero. This can be done with the row combination a rho_j + rho_k where a = 1, c. To complete the transformation to row echelon form, it suffices to make the coefficient of y in the third equation of the resulting equation equal to zero. This can be done with the row combination a rho_j + rho_k where a = -1, j = 2 and k = 3 d. The original system has 1 solution(s). One of the solutions is (x, y, z) = (1/2, 3/2, 2).

Explanation / Answer

x = -3
y = 16
z = -5

OR

x = -6
y = 31
z = -11

So we have many solution. (I solved using determinant)

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