Question

Use Guauss-jordan elimination to solve the following system of equations.

3x + 5y = 7
6x - y = -8

Answer 1

(-1,2)

Explanation:

Write out the system in a matrix

3 5 7

2(6 -1 -8 ) Multiply row two by five and add to row one.

1 0 -1 Multiply row 1 by -6 and add it to row two.

6 -1 -8

1 0 -1

0 -1 -2 Multiply bottom row by -1

1 0 -1

0 1 2

x=-1, y=2