Solve the system of equations 2x1 6x3 5 x2 2x3 3 3x1 6x

Solve the system of equations. 2x_1 - 6x_3 = 5 x_2 + 2x_3 = 3 3x_1 + 6x_2 - 2x_3 = -4

Solution

Augmented matrix

Your matrix

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

Eliminate the 1st column

Find the pivot in the 2nd column in the 2nd row

Eliminate the 2nd column

Make the pivot in the 3rd column by dividing the 3rd row by -5

Eliminate the 3rd column

Solution set:

x1 = 101/5

x2 = -44/5

x3 = 59/10

	X1	X2	X3	b
1	2	0	-6	5
2	0	1	2	3
3	3	6	-2	-4