Question

find lengths of diagonals AC and BD for the parallelogram where EB=x+17, ED=3y+2, EA=8x+1, and EC=6y-11

Answer 1

You know the diagonals bisect each other, so
x+17 = 3y+2
8x+1 = 6y-11
so solve for x and y, then you can get the lengths.