book Maths Puzzle Numerical Ability

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..

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The marvin small manufacturing plant produces two kinds of bikes, 3-speed and 10-speed in two factories. Factory A produces 16 3-speeds and 20 10-speeds in one day, while factory the 12th term of an arithmatic series is 42 and the sum of the first 17 terms is 51. find the common difference of the series and the first three terms.