exam Maths Puzzle Numerical Ability

the question is:
solve this system.

x-y=5
x2+y2=25

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exam Other Question

Carbon 14 Dating: A sample from a refuse deposit near the Strait of Magellan had 60% of the carbon 14 of a contemporary living sample. How old was the sample? Use a linear combination to solve the system.

5x + y = 6
-5x + 3y = -22