use gaussian elimination on the augmented matrix, then use back substitution to find the solution of the system of linear equations.
-2x + 3y - 4z = 7
5x - y + 2z = 13
3x + 2y - z = 17

x = 4

y = 1

z= -3

Step-by-step explanation:

Given equations are

-2x + 3y - 4z = 7

5x - y + 2z = 13

3x + 2y - z = 17

We can write the above equations in matrix augmented form as

So, from the above augmented matrix, we can write

z= -3.....(3)

From eq(2) and (3)

=> y = 1

Now, by putting the value of y and z in equation (1), we will get

=> x = 4

Hence, the value of

x = 4

y = 1

z= -3

1,8,15,22,29,36,43,50

step-by-step explanation: