Question

13. Tyra picked two numbers, x and y. She told her friend that the sum of the two numbers is 28

and the difference between the two numbers is 14.
a. Write two different linear equations that model what Tyra told her friend
b. Solve the system of linear equations using the elimination method. What two numbers
did Tyra pick?

Answer 1

a.

x + y = 28

x - y = 14

b.

Add the two equations:

2x = 42

x = 21

Substitute back into either original equation:

y = 28 - 21 = 7

Therefore, the two numbers Tyra picked are x = 21 and y = 7.