Question

11 What is the solution to the system of

equations?
to maleve doida
(2x - 5y +z = 5
3x + 2y -z = 17
4x - 3y + 2z = 17
A
B
C
65-12-29
(5, 1, 0)
(9,-1,-8)
D
(0, 1, 5)

Answer 1

(x, y, z)= (5, 1, 0)

Explanation:

Normally this type of problems is solved by using matrices: Writing in matrix form the coefficients of the unknowns and adding an extra column to the matrix for the values on the other side of the equal sign constructing that way what is called an "augmented matrix" (see first attached image to see how the matrix s built).

Then you use row operations including scalar multiplications to arrive at what is named the "Reduced Raw Echelon" form of the matrix, where the answers to each unknown appear listed vertically in the far right column (see second attached image that illustrates this).

The other more "pedestrian" way of doing it, since they give you the possible answers, is to try the set of (x, y, z) values that they show, and evaluate each of the three equations using them. Those that give you three claer equalities are the set of (x, y, z) solutions.