exam Maths Puzzle Numerical Ability

Graph inequality using the test point method

4x + 3y >24

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exam Other Question

The base of a ladder is 7 feet away from the wall. The top of the ladder is 7 feet from the floor. Find the length of the ladder to the nearest thousandth. Using Gauss-Jordan elimination- solve following system of equations.

x+y+z=2
2x-3y+z=-11
-x+2y-z=8

I think it is x= 1/3, y=10/3, z=-5/3

Am I correct?
Thanks