Point A has coordinates (11/2 , -1)
Point B has coordinates (-3, 61/60)
Point C has coordinates (-19/6, 3/5)
The straight line AC has equation: 12x + 65y -1 = 0
and the straight line BC has equation 60y = 150x + 511
Write down the solution of the simultaneous equations: 12x + 65y -1 = 0 and 60y = 150x + 511
(Solution: x= -3 1/6 y = 3/5)
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Verified answer
I assume that you are supposed to realise that the two lines AC and BC meet at point C.
Therefore the solution to the two equations is obviously the values of x and y at C. These are: x = -19/6, y = 3/5.
That is why you are asked to "write it down". You do not need to solve the two equations!