Question

Using matrix method solve the following simultaneous equations

3x - 1y = 7

2x + 3y = 12

Answer 1

Augmented matrix for given system of equations

solution using Gauss-Jordan elimination

Your matrix

	X1	X2	b
1	3	-1	7
2	2	3	12

Make the pivot in the 1st column by dividing the 1st row by 3

	X1	X2	b
1	1	-1/3	7/3
2	2	3	12

Eliminate the 1st column

	X1	X2	b
1	1	-1/3	7/3
2	0	11/3	22/3

Make the pivot in the 2nd column by dividing the 2nd row by 11/3

	X1	X2	b
1	1	-1/3	7/3
2	0	1	2

Eliminate the 2nd column

	X1	X2	b
1	1	0	3
2	0	1	2

Solution set:

x1 = 3

x2 = 2