I am getting the wrong answers and I don't know where I am going wrong! Please help!
4. The line with the equation 5x+y=20 meets the x axis at A and the line with the equation x+2y=22 meets the y axis at B. The two lines intersect at point C.
(iv) Find the co-ordinates of the point E such that ABEC is a parallelogram.
This is what I have done (I don't know if this is right or not):
I have found the gradient of BA ( -11/4) which I know will be parallel to EC. I then use the point (0,11) to find the equation of the line BA. I get 4y+11x=44 from this.
I do the same for CA (parallel to EB) .

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It wouldnt let me type any more so heres the rest

I get -5 for the gradient and use point C (2,10) to get the equation of the line 5x+y=20

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