exam Maths Puzzle Numerical Ability

It states to solve equation, if the sytem is inconsisten or has dependent equations, say so:

x+3y+z=2
4x+y+2z=-4
5x+2y+3z=-2

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exam Other Question

Prove The following identity:

The Sum of (n,k)*((m-n),(n-k)) with k = 0 to n =(m,n)

The Sum of N choose K times m subtract n choose n subtract k from k equal 0 to n is equal
Can you help me with this trigonometry problem?

Give 5 keypoints and sketch the graphs of
y=3Sin (x-pie/3)