book Maths Puzzle Numerical Ability

How can you decide if a relationship is linear by looking at its table

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can you please help me with my problem. its about System of Linear Equations in three variables,


A Dependent system of three equations:
2x - 3y - z = 4 (1)
-6x + 9y + 3z = -12 (2)
4x - 6y - 2z = 8 (3)


please help..
a/x -3a to the second y to the zero x to the negative one/a = 4x to the negative 1/aa to the negative 1