Question

Solve the system of linear equations using the Gauss-Jordan elimination method

x − 5y = 24

4x + 2y = 8 (x, y) =

Answer 1

Augmented matrix for given system of equations

using the Gauss-Jordan elimination method

Your matrix

	X1	X2	b
1	1	-5	24
2	4	2	8

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

	X1	X2	b
1	1	-5	24
2	4	2	8

Eliminate the 1st column

	X1	X2	b
1	1	-5	24
2	0	22	-88

Make the pivot in the 2nd column by dividing the 2nd row by 22

	X1	X2	b
1	1	-5	24
2	0	1	-4

Eliminate the 2nd column

	X1	X2	b
1	1	0	4
2	0	1	-4

Solution set:

x = 4

y = -4

(x, y) = (4 , -4)