Reese pick two numbers, X and Y. she told her friend that the sum of the two numbers is 9 and the difference of the two numbers is 17. a.Write two different linear equations that model what Reese told her friend.b.Solve the system of linear equations using the substitution method. What two numbers did Reese pick?

a.
x + y = 9
x - y = 17

b.
[tex]x = 9 - y[/tex]
Substitute that into
[tex]9 - y - y = 17 \\ 9 - 2y = 17 \\ 2y = - 8 \\ y = - 4[/tex]

Substitute that into
[tex]x = 9 - ( - 4) \\ x = 13[/tex]

x = 13, y = - 4

Hope this helps. - M