exam Maths Puzzle Numerical Ability

Okay this is a long one.
Q: Use the gauss jordon method to solve the system.
[1 5 -1 -4
0 3 -1 -1
-3 6 2 11] I started out by doing the gaussian method so this is

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system of inequalities. Describe what the graph interval [-4, 10] looks like? Find an equation of a line passing through the points (3,3) and (-1,8)