Given the system of equations, what is the value of x + y? x + 2y = 24 2x + y = 9

11

Step-by-step explanation:

x + 2y = 24 ... x = 24 - 2y

now sub 24 - 2y in for x, back into the other equation

2x + y = 9

2 (24 - 2y) + y = 9

48 - 4y + y = 9

-4y + y = 9 - 48

-3y = - 39

y = - 39/-3

y = 13

x + 2y = 24

x + 2 (13) = 24

x + 26 = 24

x = 24 - 26

x = - 2

so the value of x + y = - 2 + 13 = 11 <===