Mathematics
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Aaron is 15 centimeters taller than Peter, and five times Aaron's height exceeds two times Peter's height by 525 centimeters. The system of linear equations that relates Aaron's height (x) and Peter's height (y) is given by . Aaron's height is centimeters, and Peter's height is centimeters.

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petranajjar

The system of linear equations that relates x and y: x= 15 + y 5 x = 2 y+ 525 We will solve this system using substitution method: 5(15 + y)=2 y + 525 75 + 5 y = 2 y + 525 5 y - 2 y = 525 - 75 3 y = 450,           y = 450 : 3        y = 150 x = 15 + y           x = 15 + 150     x = 165 Answer: Aaron´s height is 165 cm and Peter´s height is 150 cm.

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