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Alborosie
3 years ago
12

Aaron is 15 centimeters taller than Peter, and five times Aaron's height exceeds two times Peter's height by 525 centimeters. Th

e 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.
Mathematics
2 answers:
Cerrena [4.2K]3 years ago
6 0

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

Tatiana [17]3 years ago
4 0
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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