exam Maths Puzzle Numerical Ability

Solve the system of equations.

2x + y = 0

x - 3y + z = 0

3x + y - z = 0

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exam Other Question

Solve by using the quadratic formula
5x^2 + 5x = 3
Can anyone help me out with this problem please? Thank you
rationalize the denominators: Can you explain how to do this? What steps to follow?

5 sqrt 2 - sq rt 5 (numerator)
5 sqrt 2 + sq rt 5 (denominator)