Matrix solutions to linear systems

Question

Perform the following matrix row operation and write the new matrix

[ -6 14 | -24 ]

[ 6 9 | -5 ] - 1⁄6R₁

Answer 1

1/6 • R₁=[-1, 7/3, -4]

Then subtracting this and replacing with R₂ yields:

[-6, 14, -24]

[7, 6 and 2/3, -1]