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).)

2x	+	7y	=	3
−x	−	7y 2	=	− 1 2

(x, y) =

Answer 1

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	2	7	3
2	-1	-7/2	-1/2

Find the pivot in the 1st column (inversing the sign in the whole row) and swap the 2nd and the 1st rows

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

Eliminate the 1st column

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

Solution set:

The system is inconsistent

(x , y) = NO SOLUTION.