Find the area bounded by the lines y = 4x + 5 , y = 5 – x and 4y = x + 5

Plot an approximate graph and solve the eqns to get their coordinates for the points of intersection. If calculating, the area across X-axis, (which would be easier as the limits would be simple which you will realise just after plotting the lines in the cartesian coordinate plane), Divide the area in to 3 parts. Two parts would be constituted by the lines plotted relatively above which would be added later. The third part would be the area below the third line and the X axis which has to be subtracted from the two to get the area enclosed within the 3 lines.