Question

Use Gauss-Jordan row reduction to solve the given system of equations. HINT [See Examples 1-6.] (If there is no solution, enter NO SOLUTION. If the system is dependent, express your answer in terms of x, where y = y(x).)

7x + y = 8

−7x + y = 8

Answer 1

Use Gauss-Jordan row reduction to solve the given system of equations.

Augmented matrix for the given system of equations

Your matrix

	X1	X2	b
1	7	1	8
2	-7	1	8

Make the pivot in the 1st column by dividing the 1st row by 7

	X1	X2	b
1	1	1/7	8/7
2	-7	1	8

Eliminate the 1st column

	X1	X2	b
1	1	1/7	8/7
2	0	2	16

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

	X1	X2	b
1	1	1/7	8/7
2	0	1	8

Eliminate the 2nd column

	X1	X2	b
1	1	0	0
2	0	1	8

Solution set:

x = 0

y = 8