Answer:
[tex]x = 26 \frac{1}{3} \\ [/tex]
[tex]y = 13 \frac{2}{3} \\ [/tex]
Step-by-step explanation:
x = 2y - 1
x - 2y = -1 ________(1)
x + y = 40________(2)
(2) - (1)
[tex]x + y - (x - 2y) = 40 - ( - 1) \\ x + y - x + 2y = 40 + 1 \\ 3y = 41 \\ y = \frac{41}{3} \\ y = 13 \frac{2}{3} \\ [/tex]
y = 13 2/3
[tex]x + y = 40 \\ x + 13 \frac{2}{3} = 40 \\ x = 40 - 13 \frac{2}{3} \\ x = 40 - \frac{41}{3} \\ x = \frac{3(40) - 41}{3} \\ x = \frac{120 - 41}{3} \\ x = \frac{79}{3} \\ x = 26 \frac{1}{3} \\ [/tex]
