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

Answer with Step-by-step explanation:

Let Aaron's height be represented by x

and Peter's height be represented by y

Aaron is 15 centimeters taller than Peter.

i.e. x=y+15

Five times Aaron's height exceeds two times Peter's height by 525 centimeters.

i.e. 5x=2y+525

Putting x=y+15 in 5x=2y+525

5(y+15)=2y+525

5y+75=2y+525

5y-2y=525-75

3y=450

Dividing both sides by 3,we get

y=150

Putting the value of y in x=y+15,we get

x=150+15

x=165

Hence, system of linear equations that relates Aaron's height (x) and Peter's height (y) is:

x=y+15

5x=2y+525

Aaron's height is 165 centimeters

and Peter's height is 150 centimeters

Answer 2

The answer for this problem would be x equal to 430 cm and y is equal to 325. This is computed by establishing the equations. This first equation based on first statement would be x = 15 + y and the second would be 5x = 3y + 525. Then it is solve as follows:

5x = 3y + 525