exam Maths Puzzle Numerical Ability

solve the homogeneous system: {-3x+y_>=-6
-x+2y_>=8
X_>0 y_>0

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exam Other Question

is this a linear equation. if so write it in the standard form
4y+x=9x
Let cos beta =a .Find the expression for cos 2beta and sin 2beta in terms of a
and hence confirm that - cos(square)2beta + sin(square)2beta = 1