gauss-jordan method to sove system of equation

Question

use the Gauss-Jordan method to solve the symstem of equations

3x-4y=1

5x+2y=19

Answer 1

Given linear equations are 3x - 4y = 1 and 5x + 2y = 19.

Convert the equations in to matrix form.

is coefficeint matrix , is variable matrix and is constant matrix.

From Gauss - jordan elimnation method

Augmented matrix is

=

Here represents first row and represents second row.

=

=

=

=

=

=

=

= .

Solution x = 3 and y = 2.