Solve the following system of equations x y z 9 2x 5y 2

Solve the following system of equations. x + y + z = -9 2x + 5y + 2z = -27 -x + 9y - 3z = -13

Solution

Your matrix

Find the pivot in the 1st column in the 1st row

Eliminate the 1st column

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

Eliminate the 2nd column

Make the pivot in the 3rd column by dividing the 3rd row by -2

Eliminate the 3rd column

solution

x = -2

y = -3

z = -4

	X1	X2	X3	b
1	1	1	1	-9
2	2	5	2	-27
3	-1	9	-3	-13