Question

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.

Answer 1

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

Answer 2

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.