exam Maths Puzzle Numerical Ability

Chapter The Elimination Method
6x-5y=3
-12x+8y=5

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London and Konigsberg submitted separate proposals for the construction of a bridge, London offering the lower price for the winning bid. Had London and Konigsberg reduced their bi Floor plans for a building have the four corners of a room located at the points (2,3), (11,6), (-3,18), and (8,21). Determine whether the side through the points (2,3) and (11,6) is perpendicular to the side through the points (2,3) and (-3,18).