Please help me solve the system 2x3y4z 14 4x2y3z 17 6x5y7z 3

Please help me solve the system

2x-3y+4z= -14

4x+2y-3z= -17

6x-5y+7z= -37

find x,y,z

Solution

Your matrix

Make the pivot in the 1st column by dividing the 1st row by 2

Eliminate the 1st column

Make the pivot in the 2nd column by dividing the 2nd row by 8

Eliminate the 2nd column

Make the pivot in the 3rd column by dividing the 3rd row by 1/2

Eliminate the 3rd column

Solution :

x = -5

y = 0

z = -1