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Yes, it satisfies the Pythagorean theorem.The cost of 5 pens and 3 pencils is $23. The cost of 2 pens and 4 pencils is $14. Find the cost of one pen in cents.Let pen = p, pencil = c, both in dollars.Wait — perhaps we made a calculation error.Wait — perhaps question expects integer? Maybe typo, but calculation is correct.Alternatively, check equations again.Maybe better to use elimination without fractions.Wait — maybe I misread: find the cost of one pen in cents — answer should be exact.But this is not integer — likely acceptable.Alternatively, perhaps the equations were meant to yield integers.