Question

Solve each system of equations

x-2y+3z=7

2x+y+z=4

-3x+2y-2z=-10

Answer 1

x-2y+3z=7

2x+y+z=4

-3x+2y-2z=-10

augmented matrix is

1	-2	3	7
2	1	1	4
-3	2	-2	-10

convert into Add (-2 * row1) to row2

1	-2	3	7
0	5	-5	-10
-3	2	-2	-10

Add (3 * row1) to row3

1	-2	3	7
0	5	-5	-10
0	-4	7	11

Divide row2 by 5

1	-2	3	7
0	1	-1	-2
0	-4	7	11

Add (4 * row2) to row3

1	-2	3	7
0	1	-1	-2
0	0	3	3

Divide row3 by 3

1	-2	3	7
0	1	-1	-2
0	0	1	1

Add (1 * row3) to row2

1	-2	3	7
0	1	0	-1
0	0	1	1

Add (-3 * row3) to row1

1	-2	0	4
0	1	0	-1
0	0	1	1

Add (2 * row2) to row1

1	0	0	2
0	1	0	-1
0	0	1	1

solution is