book Maths Puzzle Numerical Ability

4xsquared+25ysquared-100=0 put in standard form and graphed

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Hi, The question is a Farmer has Pigs & Chickens on his farm of which the sum of all the pigs & chickens legs equals 101. How many Pigs and how many chickens are on his farm. I have been unable to solve the following:
-10 = 1/2x + x
Is the answer 20/2?