Use GaussJordan row reduction to solve the given system of e

Use Gauss-Jordan row reduction to solve the given system of equations. (If there is no solution, enter NO SOLUTION. If the system is dependent, express your answer in terms of x, where y = y(x) and z = z(x).)

-9x-y+6z=5

9x+y+4z=5

Solution

ARGUMENTED matrix

Make the pivot in the 1st column by dividing the 1st row by -9

Multiply the 1st row by 9

Subtract the 1st row from the 2nd row and restore it

Make the pivot in the 3rd column by dividing the 2nd row by 10

Multiply the 2nd row by -2/3

Subtract the 2nd row from the 1st row and restore it

Solution set:

x = 1/9 - (1/9)Y

Z= 1

Y = Y